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Finding the Third Proportional to 67,204 and 98,862

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Solution

The third proportional to 67,204 and 98,862 is: 145,433.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,204 : 98,862 = 98,862 : x
  2. Step 2: Convert to fraction form
    67,204/98,862 = 98,862/x
  3. Step 3: Cross multiply
    67,204x = 98,862 × 98,862
  4. Step 4: Simplify right side
    67,204x = 9,773,695,044
  5. Step 5: Solve for x
    x = 9,773,695,044/67,204
  6. Step 6: Final answer
    x = 145,433.23

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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.