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Finding the Third Proportional to 138,061.13 and 149,239.13

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Solution

The third proportional to 138,061.13 and 149,239.13 is: 161,322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,061.13 : 149,239.13 = 149,239.13 : x
  2. Step 2: Convert to fraction form
    138,061.13/149,239.13 = 149,239.13/x
  3. Step 3: Cross multiply
    138,061.13x = 149,239.13 × 149,239.13
  4. Step 4: Simplify right side
    138,061.13x = 22,272,316,430.77
  5. Step 5: Solve for x
    x = 22,272,316,430.77/138,061.13
  6. Step 6: Final answer
    x = 161,322.14

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.