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Finding the Third Proportional to 71,103 and 152,574

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Solution

The third proportional to 71,103 and 152,574 is: 327,395.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,103 : 152,574 = 152,574 : x
  2. Step 2: Convert to fraction form
    71,103/152,574 = 152,574/x
  3. Step 3: Cross multiply
    71,103x = 152,574 × 152,574
  4. Step 4: Simplify right side
    71,103x = 23,278,825,476
  5. Step 5: Solve for x
    x = 23,278,825,476/71,103
  6. Step 6: Final answer
    x = 327,395.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.