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Finding the Third Proportional to 100,017 and 155,061

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Solution

The third proportional to 100,017 and 155,061 is: 240,398.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,017 : 155,061 = 155,061 : x
  2. Step 2: Convert to fraction form
    100,017/155,061 = 155,061/x
  3. Step 3: Cross multiply
    100,017x = 155,061 × 155,061
  4. Step 4: Simplify right side
    100,017x = 24,043,913,721
  5. Step 5: Solve for x
    x = 24,043,913,721/100,017
  6. Step 6: Final answer
    x = 240,398.27

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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.