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Finding the Third Proportional to 62,166 and 95,609

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Solution

The third proportional to 62,166 and 95,609 is: 147,043.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,166 : 95,609 = 95,609 : x
  2. Step 2: Convert to fraction form
    62,166/95,609 = 95,609/x
  3. Step 3: Cross multiply
    62,166x = 95,609 × 95,609
  4. Step 4: Simplify right side
    62,166x = 9,141,080,881
  5. Step 5: Solve for x
    x = 9,141,080,881/62,166
  6. Step 6: Final answer
    x = 147,043.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.