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Finding the Third Proportional to 55,934 and 109,034

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Solution

The third proportional to 55,934 and 109,034 is: 212,543.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,934 : 109,034 = 109,034 : x
  2. Step 2: Convert to fraction form
    55,934/109,034 = 109,034/x
  3. Step 3: Cross multiply
    55,934x = 109,034 × 109,034
  4. Step 4: Simplify right side
    55,934x = 11,888,413,156
  5. Step 5: Solve for x
    x = 11,888,413,156/55,934
  6. Step 6: Final answer
    x = 212,543.59

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.