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Finding the Third Proportional to 25,356 and 56,542

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Solution

The third proportional to 25,356 and 56,542 is: 126,084.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,356 : 56,542 = 56,542 : x
  2. Step 2: Convert to fraction form
    25,356/56,542 = 56,542/x
  3. Step 3: Cross multiply
    25,356x = 56,542 × 56,542
  4. Step 4: Simplify right side
    25,356x = 3,196,997,764
  5. Step 5: Solve for x
    x = 3,196,997,764/25,356
  6. Step 6: Final answer
    x = 126,084.47

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.