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Finding the Third Proportional to 55,630 and 83,917

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Solution

The third proportional to 55,630 and 83,917 is: 126,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,630 : 83,917 = 83,917 : x
  2. Step 2: Convert to fraction form
    55,630/83,917 = 83,917/x
  3. Step 3: Cross multiply
    55,630x = 83,917 × 83,917
  4. Step 4: Simplify right side
    55,630x = 7,042,062,889
  5. Step 5: Solve for x
    x = 7,042,062,889/55,630
  6. Step 6: Final answer
    x = 126,587.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.