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Finding the Third Proportional to 96,624 and 130,166

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Solution

The third proportional to 96,624 and 130,166 is: 175,351.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,624 : 130,166 = 130,166 : x
  2. Step 2: Convert to fraction form
    96,624/130,166 = 130,166/x
  3. Step 3: Cross multiply
    96,624x = 130,166 × 130,166
  4. Step 4: Simplify right side
    96,624x = 16,943,187,556
  5. Step 5: Solve for x
    x = 16,943,187,556/96,624
  6. Step 6: Final answer
    x = 175,351.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.