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Finding the Third Proportional to 59,890 and 127,082

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Solution

The third proportional to 59,890 and 127,082 is: 269,658.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,890 : 127,082 = 127,082 : x
  2. Step 2: Convert to fraction form
    59,890/127,082 = 127,082/x
  3. Step 3: Cross multiply
    59,890x = 127,082 × 127,082
  4. Step 4: Simplify right side
    59,890x = 16,149,834,724
  5. Step 5: Solve for x
    x = 16,149,834,724/59,890
  6. Step 6: Final answer
    x = 269,658.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.