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Finding the Third Proportional to 66,139.03 and 142,732.13

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Solution

The third proportional to 66,139.03 and 142,732.13 is: 308,024.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,139.03 : 142,732.13 = 142,732.13 : x
  2. Step 2: Convert to fraction form
    66,139.03/142,732.13 = 142,732.13/x
  3. Step 3: Cross multiply
    66,139.03x = 142,732.13 × 142,732.13
  4. Step 4: Simplify right side
    66,139.03x = 20,372,459,507.02
  5. Step 5: Solve for x
    x = 20,372,459,507.02/66,139.03
  6. Step 6: Final answer
    x = 308,024.76

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