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Finding the Third Proportional to 56,834 and 124,747

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Solution

The third proportional to 56,834 and 124,747 is: 273,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,834 : 124,747 = 124,747 : x
  2. Step 2: Convert to fraction form
    56,834/124,747 = 124,747/x
  3. Step 3: Cross multiply
    56,834x = 124,747 × 124,747
  4. Step 4: Simplify right side
    56,834x = 15,561,814,009
  5. Step 5: Solve for x
    x = 15,561,814,009/56,834
  6. Step 6: Final answer
    x = 273,811.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.