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Finding the Third Proportional to 91,371.38 and 137,057.06

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Solution

The third proportional to 91,371.38 and 137,057.06 is: 205,585.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,371.38 : 137,057.06 = 137,057.06 : x
  2. Step 2: Convert to fraction form
    91,371.38/137,057.06 = 137,057.06/x
  3. Step 3: Cross multiply
    91,371.38x = 137,057.06 × 137,057.06
  4. Step 4: Simplify right side
    91,371.38x = 18,784,638,381.13
  5. Step 5: Solve for x
    x = 18,784,638,381.13/91,371.38
  6. Step 6: Final answer
    x = 205,585.59

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Why These Related Problems?

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