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Finding the Third Proportional to 58,342 and 127,981

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Solution

The third proportional to 58,342 and 127,981 is: 280,743.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,342 : 127,981 = 127,981 : x
  2. Step 2: Convert to fraction form
    58,342/127,981 = 127,981/x
  3. Step 3: Cross multiply
    58,342x = 127,981 × 127,981
  4. Step 4: Simplify right side
    58,342x = 16,379,136,361
  5. Step 5: Solve for x
    x = 16,379,136,361/58,342
  6. Step 6: Final answer
    x = 280,743.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.