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Finding the Third Proportional to 67,806 and 99,267

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Solution

The third proportional to 67,806 and 99,267 is: 145,325.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,806 : 99,267 = 99,267 : x
  2. Step 2: Convert to fraction form
    67,806/99,267 = 99,267/x
  3. Step 3: Cross multiply
    67,806x = 99,267 × 99,267
  4. Step 4: Simplify right side
    67,806x = 9,853,937,289
  5. Step 5: Solve for x
    x = 9,853,937,289/67,806
  6. Step 6: Final answer
    x = 145,325.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.