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Finding the Third Proportional to 96,608 and 129,996

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Solution

The third proportional to 96,608 and 129,996 is: 174,922.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,608 : 129,996 = 129,996 : x
  2. Step 2: Convert to fraction form
    96,608/129,996 = 129,996/x
  3. Step 3: Cross multiply
    96,608x = 129,996 × 129,996
  4. Step 4: Simplify right side
    96,608x = 16,898,960,016
  5. Step 5: Solve for x
    x = 16,898,960,016/96,608
  6. Step 6: Final answer
    x = 174,922.99

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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.