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Finding the Third Proportional to 40,241 and 60,148

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Solution

The third proportional to 40,241 and 60,148 is: 89,902.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,241 : 60,148 = 60,148 : x
  2. Step 2: Convert to fraction form
    40,241/60,148 = 60,148/x
  3. Step 3: Cross multiply
    40,241x = 60,148 × 60,148
  4. Step 4: Simplify right side
    40,241x = 3,617,781,904
  5. Step 5: Solve for x
    x = 3,617,781,904/40,241
  6. Step 6: Final answer
    x = 89,902.88

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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.