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Finding the Third Proportional to 70,374 and 95,604

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Solution

The third proportional to 70,374 and 95,604 is: 129,879.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,374 : 95,604 = 95,604 : x
  2. Step 2: Convert to fraction form
    70,374/95,604 = 95,604/x
  3. Step 3: Cross multiply
    70,374x = 95,604 × 95,604
  4. Step 4: Simplify right side
    70,374x = 9,140,124,816
  5. Step 5: Solve for x
    x = 9,140,124,816/70,374
  6. Step 6: Final answer
    x = 129,879.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.