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Finding the Third Proportional to 91,449 and 137,416.50

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Solution

The third proportional to 91,449 and 137,416.50 is: 206,489.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,449 : 137,416.50 = 137,416.50 : x
  2. Step 2: Convert to fraction form
    91,449/137,416.50 = 137,416.50/x
  3. Step 3: Cross multiply
    91,449x = 137,416.50 × 137,416.50
  4. Step 4: Simplify right side
    91,449x = 18,883,294,472.25
  5. Step 5: Solve for x
    x = 18,883,294,472.25/91,449
  6. Step 6: Final answer
    x = 206,489.90

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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.