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Finding the Third Proportional to 59,034 and 127,397

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Solution

The third proportional to 59,034 and 127,397 is: 274,926.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,034 : 127,397 = 127,397 : x
  2. Step 2: Convert to fraction form
    59,034/127,397 = 127,397/x
  3. Step 3: Cross multiply
    59,034x = 127,397 × 127,397
  4. Step 4: Simplify right side
    59,034x = 16,229,995,609
  5. Step 5: Solve for x
    x = 16,229,995,609/59,034
  6. Step 6: Final answer
    x = 274,926.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.