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Finding the Third Proportional to 48,122 and 72,110

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Solution

The third proportional to 48,122 and 72,110 is: 108,055.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,122 : 72,110 = 72,110 : x
  2. Step 2: Convert to fraction form
    48,122/72,110 = 72,110/x
  3. Step 3: Cross multiply
    48,122x = 72,110 × 72,110
  4. Step 4: Simplify right side
    48,122x = 5,199,852,100
  5. Step 5: Solve for x
    x = 5,199,852,100/48,122
  6. Step 6: Final answer
    x = 108,055.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.