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Finding the Third Proportional to 66,487.25 and 142,314.25

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Solution

The third proportional to 66,487.25 and 142,314.25 is: 304,619.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,487.25 : 142,314.25 = 142,314.25 : x
  2. Step 2: Convert to fraction form
    66,487.25/142,314.25 = 142,314.25/x
  3. Step 3: Cross multiply
    66,487.25x = 142,314.25 × 142,314.25
  4. Step 4: Simplify right side
    66,487.25x = 20,253,345,753.06
  5. Step 5: Solve for x
    x = 20,253,345,753.06/66,487.25
  6. Step 6: Final answer
    x = 304,619.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.