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Finding the Third Proportional to 102,338 and 157,882

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Solution

The third proportional to 102,338 and 157,882 is: 243,572.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,338 : 157,882 = 157,882 : x
  2. Step 2: Convert to fraction form
    102,338/157,882 = 157,882/x
  3. Step 3: Cross multiply
    102,338x = 157,882 × 157,882
  4. Step 4: Simplify right side
    102,338x = 24,926,725,924
  5. Step 5: Solve for x
    x = 24,926,725,924/102,338
  6. Step 6: Final answer
    x = 243,572.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.