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Finding the Third Proportional to 56,494 and 121,684

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Solution

The third proportional to 56,494 and 121,684 is: 262,098.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,494 : 121,684 = 121,684 : x
  2. Step 2: Convert to fraction form
    56,494/121,684 = 121,684/x
  3. Step 3: Cross multiply
    56,494x = 121,684 × 121,684
  4. Step 4: Simplify right side
    56,494x = 14,806,995,856
  5. Step 5: Solve for x
    x = 14,806,995,856/56,494
  6. Step 6: Final answer
    x = 262,098.56

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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.