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Finding the Third Proportional to 66,292.50 and 143,173.50

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Solution

The third proportional to 66,292.50 and 143,173.50 is: 309,215.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,292.50 : 143,173.50 = 143,173.50 : x
  2. Step 2: Convert to fraction form
    66,292.50/143,173.50 = 143,173.50/x
  3. Step 3: Cross multiply
    66,292.50x = 143,173.50 × 143,173.50
  4. Step 4: Simplify right side
    66,292.50x = 20,498,651,102.25
  5. Step 5: Solve for x
    x = 20,498,651,102.25/66,292.50
  6. Step 6: Final answer
    x = 309,215.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.