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Finding the Third Proportional to 52,680 and 125,934

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Solution

The third proportional to 52,680 and 125,934 is: 301,051.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,680 : 125,934 = 125,934 : x
  2. Step 2: Convert to fraction form
    52,680/125,934 = 125,934/x
  3. Step 3: Cross multiply
    52,680x = 125,934 × 125,934
  4. Step 4: Simplify right side
    52,680x = 15,859,372,356
  5. Step 5: Solve for x
    x = 15,859,372,356/52,680
  6. Step 6: Final answer
    x = 301,051.11

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.