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Finding the Third Proportional to 66,538.50 and 144,268.50

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Solution

The third proportional to 66,538.50 and 144,268.50 is: 312,802.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,538.50 : 144,268.50 = 144,268.50 : x
  2. Step 2: Convert to fraction form
    66,538.50/144,268.50 = 144,268.50/x
  3. Step 3: Cross multiply
    66,538.50x = 144,268.50 × 144,268.50
  4. Step 4: Simplify right side
    66,538.50x = 20,813,400,092.25
  5. Step 5: Solve for x
    x = 20,813,400,092.25/66,538.50
  6. Step 6: Final answer
    x = 312,802.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.