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Finding the Third Proportional to 44,127 and 59,103

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Solution

The third proportional to 44,127 and 59,103 is: 79,161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,127 : 59,103 = 59,103 : x
  2. Step 2: Convert to fraction form
    44,127/59,103 = 59,103/x
  3. Step 3: Cross multiply
    44,127x = 59,103 × 59,103
  4. Step 4: Simplify right side
    44,127x = 3,493,164,609
  5. Step 5: Solve for x
    x = 3,493,164,609/44,127
  6. Step 6: Final answer
    x = 79,161.62

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.