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Finding the Third Proportional to 56,320 and 121,934

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Solution

The third proportional to 56,320 and 121,934 is: 263,989.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,320 : 121,934 = 121,934 : x
  2. Step 2: Convert to fraction form
    56,320/121,934 = 121,934/x
  3. Step 3: Cross multiply
    56,320x = 121,934 × 121,934
  4. Step 4: Simplify right side
    56,320x = 14,867,900,356
  5. Step 5: Solve for x
    x = 14,867,900,356/56,320
  6. Step 6: Final answer
    x = 263,989.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.