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Finding the Third Proportional to 98,138 and 155,651

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Solution

The third proportional to 98,138 and 155,651 is: 246,869.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,138 : 155,651 = 155,651 : x
  2. Step 2: Convert to fraction form
    98,138/155,651 = 155,651/x
  3. Step 3: Cross multiply
    98,138x = 155,651 × 155,651
  4. Step 4: Simplify right side
    98,138x = 24,227,233,801
  5. Step 5: Solve for x
    x = 24,227,233,801/98,138
  6. Step 6: Final answer
    x = 246,869.04

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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.