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Finding the Third Proportional to 71,482 and 152,780

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Solution

The third proportional to 71,482 and 152,780 is: 326,539.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,482 : 152,780 = 152,780 : x
  2. Step 2: Convert to fraction form
    71,482/152,780 = 152,780/x
  3. Step 3: Cross multiply
    71,482x = 152,780 × 152,780
  4. Step 4: Simplify right side
    71,482x = 23,341,728,400
  5. Step 5: Solve for x
    x = 23,341,728,400/71,482
  6. Step 6: Final answer
    x = 326,539.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.