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Finding the Third Proportional to 71,102 and 107,103

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Solution

The third proportional to 71,102 and 107,103 is: 161,332.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,102 : 107,103 = 107,103 : x
  2. Step 2: Convert to fraction form
    71,102/107,103 = 107,103/x
  3. Step 3: Cross multiply
    71,102x = 107,103 × 107,103
  4. Step 4: Simplify right side
    71,102x = 11,471,052,609
  5. Step 5: Solve for x
    x = 11,471,052,609/71,102
  6. Step 6: Final answer
    x = 161,332.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.