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Finding the Third Proportional to 59,571 and 127,779

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Solution

The third proportional to 59,571 and 127,779 is: 274,084.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,571 : 127,779 = 127,779 : x
  2. Step 2: Convert to fraction form
    59,571/127,779 = 127,779/x
  3. Step 3: Cross multiply
    59,571x = 127,779 × 127,779
  4. Step 4: Simplify right side
    59,571x = 16,327,472,841
  5. Step 5: Solve for x
    x = 16,327,472,841/59,571
  6. Step 6: Final answer
    x = 274,084.25

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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.