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Finding the Third Proportional to 98,272 and 155,860

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Solution

The third proportional to 98,272 and 155,860 is: 247,194.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,272 : 155,860 = 155,860 : x
  2. Step 2: Convert to fraction form
    98,272/155,860 = 155,860/x
  3. Step 3: Cross multiply
    98,272x = 155,860 × 155,860
  4. Step 4: Simplify right side
    98,272x = 24,292,339,600
  5. Step 5: Solve for x
    x = 24,292,339,600/98,272
  6. Step 6: Final answer
    x = 247,194.92

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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.