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Finding the Third Proportional to 91,373.50 and 137,060

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Solution

The third proportional to 91,373.50 and 137,060 is: 205,589.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,373.50 : 137,060 = 137,060 : x
  2. Step 2: Convert to fraction form
    91,373.50/137,060 = 137,060/x
  3. Step 3: Cross multiply
    91,373.50x = 137,060 × 137,060
  4. Step 4: Simplify right side
    91,373.50x = 18,785,443,600
  5. Step 5: Solve for x
    x = 18,785,443,600/91,373.50
  6. Step 6: Final answer
    x = 205,589.63

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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.