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Finding the Third Proportional to 48,110 and 71,650

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Solution

The third proportional to 48,110 and 71,650 is: 106,708.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,110 : 71,650 = 71,650 : x
  2. Step 2: Convert to fraction form
    48,110/71,650 = 71,650/x
  3. Step 3: Cross multiply
    48,110x = 71,650 × 71,650
  4. Step 4: Simplify right side
    48,110x = 5,133,722,500
  5. Step 5: Solve for x
    x = 5,133,722,500/48,110
  6. Step 6: Final answer
    x = 106,708.01

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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.