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Finding the Third Proportional to 59,571 and 127,782

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Solution

The third proportional to 59,571 and 127,782 is: 274,097.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,571 : 127,782 = 127,782 : x
  2. Step 2: Convert to fraction form
    59,571/127,782 = 127,782/x
  3. Step 3: Cross multiply
    59,571x = 127,782 × 127,782
  4. Step 4: Simplify right side
    59,571x = 16,328,239,524
  5. Step 5: Solve for x
    x = 16,328,239,524/59,571
  6. Step 6: Final answer
    x = 274,097.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.