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Finding the Third Proportional to 66,008.25 and 144,328.50

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Solution

The third proportional to 66,008.25 and 144,328.50 is: 315,577.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,008.25 : 144,328.50 = 144,328.50 : x
  2. Step 2: Convert to fraction form
    66,008.25/144,328.50 = 144,328.50/x
  3. Step 3: Cross multiply
    66,008.25x = 144,328.50 × 144,328.50
  4. Step 4: Simplify right side
    66,008.25x = 20,830,715,912.25
  5. Step 5: Solve for x
    x = 20,830,715,912.25/66,008.25
  6. Step 6: Final answer
    x = 315,577.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.