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Finding the Third Proportional to 62,576 and 136,166

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Solution

The third proportional to 62,576 and 136,166 is: 296,298.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,576 : 136,166 = 136,166 : x
  2. Step 2: Convert to fraction form
    62,576/136,166 = 136,166/x
  3. Step 3: Cross multiply
    62,576x = 136,166 × 136,166
  4. Step 4: Simplify right side
    62,576x = 18,541,179,556
  5. Step 5: Solve for x
    x = 18,541,179,556/62,576
  6. Step 6: Final answer
    x = 296,298.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.