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Finding the Third Proportional to 101,711 and 157,359

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Solution

The third proportional to 101,711 and 157,359 is: 243,453.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,711 : 157,359 = 157,359 : x
  2. Step 2: Convert to fraction form
    101,711/157,359 = 157,359/x
  3. Step 3: Cross multiply
    101,711x = 157,359 × 157,359
  4. Step 4: Simplify right side
    101,711x = 24,761,854,881
  5. Step 5: Solve for x
    x = 24,761,854,881/101,711
  6. Step 6: Final answer
    x = 243,453.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.