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Finding the Third Proportional to 70,524 and 96,705

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Solution

The third proportional to 70,524 and 96,705 is: 132,605.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,524 : 96,705 = 96,705 : x
  2. Step 2: Convert to fraction form
    70,524/96,705 = 96,705/x
  3. Step 3: Cross multiply
    70,524x = 96,705 × 96,705
  4. Step 4: Simplify right side
    70,524x = 9,351,857,025
  5. Step 5: Solve for x
    x = 9,351,857,025/70,524
  6. Step 6: Final answer
    x = 132,605.31

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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.