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Finding the Third Proportional to 48,466 and 71,099

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Solution

The third proportional to 48,466 and 71,099 is: 104,301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,466 : 71,099 = 71,099 : x
  2. Step 2: Convert to fraction form
    48,466/71,099 = 71,099/x
  3. Step 3: Cross multiply
    48,466x = 71,099 × 71,099
  4. Step 4: Simplify right side
    48,466x = 5,055,067,801
  5. Step 5: Solve for x
    x = 5,055,067,801/48,466
  6. Step 6: Final answer
    x = 104,301.32

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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.