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Finding the Third Proportional to 103,693 and 157,591

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Solution

The third proportional to 103,693 and 157,591 is: 239,504.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,693 : 157,591 = 157,591 : x
  2. Step 2: Convert to fraction form
    103,693/157,591 = 157,591/x
  3. Step 3: Cross multiply
    103,693x = 157,591 × 157,591
  4. Step 4: Simplify right side
    103,693x = 24,834,923,281
  5. Step 5: Solve for x
    x = 24,834,923,281/103,693
  6. Step 6: Final answer
    x = 239,504.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.