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Finding the Third Proportional to 67,832 and 99,720

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Solution

The third proportional to 67,832 and 99,720 is: 146,598.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,832 : 99,720 = 99,720 : x
  2. Step 2: Convert to fraction form
    67,832/99,720 = 99,720/x
  3. Step 3: Cross multiply
    67,832x = 99,720 × 99,720
  4. Step 4: Simplify right side
    67,832x = 9,944,078,400
  5. Step 5: Solve for x
    x = 9,944,078,400/67,832
  6. Step 6: Final answer
    x = 146,598.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.