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Finding the Third Proportional to 91,599 and 137,614.50

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Solution

The third proportional to 91,599 and 137,614.50 is: 206,746.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,599 : 137,614.50 = 137,614.50 : x
  2. Step 2: Convert to fraction form
    91,599/137,614.50 = 137,614.50/x
  3. Step 3: Cross multiply
    91,599x = 137,614.50 × 137,614.50
  4. Step 4: Simplify right side
    91,599x = 18,937,750,610.25
  5. Step 5: Solve for x
    x = 18,937,750,610.25/91,599
  6. Step 6: Final answer
    x = 206,746.26

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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.