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Finding the Third Proportional to 91,593 and 145,702.13

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Solution

The third proportional to 91,593 and 145,702.13 is: 231,776.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,593 : 145,702.13 = 145,702.13 : x
  2. Step 2: Convert to fraction form
    91,593/145,702.13 = 145,702.13/x
  3. Step 3: Cross multiply
    91,593x = 145,702.13 × 145,702.13
  4. Step 4: Simplify right side
    91,593x = 21,229,109,229.52
  5. Step 5: Solve for x
    x = 21,229,109,229.52/91,593
  6. Step 6: Final answer
    x = 231,776.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.