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Finding the Third Proportional to 98,770 and 156,902

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Solution

The third proportional to 98,770 and 156,902 is: 249,248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,770 : 156,902 = 156,902 : x
  2. Step 2: Convert to fraction form
    98,770/156,902 = 156,902/x
  3. Step 3: Cross multiply
    98,770x = 156,902 × 156,902
  4. Step 4: Simplify right side
    98,770x = 24,618,237,604
  5. Step 5: Solve for x
    x = 24,618,237,604/98,770
  6. Step 6: Final answer
    x = 249,248.13

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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.