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Finding the Third Proportional to 67,620 and 99,517

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Solution

The third proportional to 67,620 and 99,517 is: 146,460.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,620 : 99,517 = 99,517 : x
  2. Step 2: Convert to fraction form
    67,620/99,517 = 99,517/x
  3. Step 3: Cross multiply
    67,620x = 99,517 × 99,517
  4. Step 4: Simplify right side
    67,620x = 9,903,633,289
  5. Step 5: Solve for x
    x = 9,903,633,289/67,620
  6. Step 6: Final answer
    x = 146,460.12

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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.