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Finding the Third Proportional to 58,648 and 126,416

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Solution

The third proportional to 58,648 and 126,416 is: 272,490.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,648 : 126,416 = 126,416 : x
  2. Step 2: Convert to fraction form
    58,648/126,416 = 126,416/x
  3. Step 3: Cross multiply
    58,648x = 126,416 × 126,416
  4. Step 4: Simplify right side
    58,648x = 15,981,005,056
  5. Step 5: Solve for x
    x = 15,981,005,056/58,648
  6. Step 6: Final answer
    x = 272,490.20

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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.