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Finding the Third Proportional to 79,358 and 127,593

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Solution

The third proportional to 79,358 and 127,593 is: 205,145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,358 : 127,593 = 127,593 : x
  2. Step 2: Convert to fraction form
    79,358/127,593 = 127,593/x
  3. Step 3: Cross multiply
    79,358x = 127,593 × 127,593
  4. Step 4: Simplify right side
    79,358x = 16,279,973,649
  5. Step 5: Solve for x
    x = 16,279,973,649/79,358
  6. Step 6: Final answer
    x = 205,145.97

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.