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Finding the Third Proportional to 48,074 and 71,712

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Solution

The third proportional to 48,074 and 71,712 is: 106,972.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,074 : 71,712 = 71,712 : x
  2. Step 2: Convert to fraction form
    48,074/71,712 = 71,712/x
  3. Step 3: Cross multiply
    48,074x = 71,712 × 71,712
  4. Step 4: Simplify right side
    48,074x = 5,142,610,944
  5. Step 5: Solve for x
    x = 5,142,610,944/48,074
  6. Step 6: Final answer
    x = 106,972.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.