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Finding the Third Proportional to 91,551 and 137,236.13

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Solution

The third proportional to 91,551 and 137,236.13 is: 205,718.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,551 : 137,236.13 = 137,236.13 : x
  2. Step 2: Convert to fraction form
    91,551/137,236.13 = 137,236.13/x
  3. Step 3: Cross multiply
    91,551x = 137,236.13 × 137,236.13
  4. Step 4: Simplify right side
    91,551x = 18,833,754,005.02
  5. Step 5: Solve for x
    x = 18,833,754,005.02/91,551
  6. Step 6: Final answer
    x = 205,718.71

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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.