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Finding the Third Proportional to 100,404 and 155,551

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Solution

The third proportional to 100,404 and 155,551 is: 240,987.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,404 : 155,551 = 155,551 : x
  2. Step 2: Convert to fraction form
    100,404/155,551 = 155,551/x
  3. Step 3: Cross multiply
    100,404x = 155,551 × 155,551
  4. Step 4: Simplify right side
    100,404x = 24,196,113,601
  5. Step 5: Solve for x
    x = 24,196,113,601/100,404
  6. Step 6: Final answer
    x = 240,987.55

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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.