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Finding the Third Proportional to 91,373 and 136,681

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Solution

The third proportional to 91,373 and 136,681 is: 204,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,373 : 136,681 = 136,681 : x
  2. Step 2: Convert to fraction form
    91,373/136,681 = 136,681/x
  3. Step 3: Cross multiply
    91,373x = 136,681 × 136,681
  4. Step 4: Simplify right side
    91,373x = 18,681,695,761
  5. Step 5: Solve for x
    x = 18,681,695,761/91,373
  6. Step 6: Final answer
    x = 204,455.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.