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Finding the Third Proportional to 70,500 and 96,674

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Solution

The third proportional to 70,500 and 96,674 is: 132,565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,500 : 96,674 = 96,674 : x
  2. Step 2: Convert to fraction form
    70,500/96,674 = 96,674/x
  3. Step 3: Cross multiply
    70,500x = 96,674 × 96,674
  4. Step 4: Simplify right side
    70,500x = 9,345,862,276
  5. Step 5: Solve for x
    x = 9,345,862,276/70,500
  6. Step 6: Final answer
    x = 132,565.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.