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Finding the Third Proportional to 41,070 and 60,141

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Solution

The third proportional to 41,070 and 60,141 is: 88,067.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,070 : 60,141 = 60,141 : x
  2. Step 2: Convert to fraction form
    41,070/60,141 = 60,141/x
  3. Step 3: Cross multiply
    41,070x = 60,141 × 60,141
  4. Step 4: Simplify right side
    41,070x = 3,616,939,881
  5. Step 5: Solve for x
    x = 3,616,939,881/41,070
  6. Step 6: Final answer
    x = 88,067.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.