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Finding the Third Proportional to 104,498 and 161,859

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Solution

The third proportional to 104,498 and 161,859 is: 250,706.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,498 : 161,859 = 161,859 : x
  2. Step 2: Convert to fraction form
    104,498/161,859 = 161,859/x
  3. Step 3: Cross multiply
    104,498x = 161,859 × 161,859
  4. Step 4: Simplify right side
    104,498x = 26,198,335,881
  5. Step 5: Solve for x
    x = 26,198,335,881/104,498
  6. Step 6: Final answer
    x = 250,706.58

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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.