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Finding the Third Proportional to 25,103 and 53,542

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Solution

The third proportional to 25,103 and 53,542 is: 114,199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,103 : 53,542 = 53,542 : x
  2. Step 2: Convert to fraction form
    25,103/53,542 = 53,542/x
  3. Step 3: Cross multiply
    25,103x = 53,542 × 53,542
  4. Step 4: Simplify right side
    25,103x = 2,866,745,764
  5. Step 5: Solve for x
    x = 2,866,745,764/25,103
  6. Step 6: Final answer
    x = 114,199.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.