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Finding the Third Proportional to 58,142 and 126,166

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Solution

The third proportional to 58,142 and 126,166 is: 273,775.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,142 : 126,166 = 126,166 : x
  2. Step 2: Convert to fraction form
    58,142/126,166 = 126,166/x
  3. Step 3: Cross multiply
    58,142x = 126,166 × 126,166
  4. Step 4: Simplify right side
    58,142x = 15,917,859,556
  5. Step 5: Solve for x
    x = 15,917,859,556/58,142
  6. Step 6: Final answer
    x = 273,775.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.