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Finding the Third Proportional to 83,262 and 127,677

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Solution

The third proportional to 83,262 and 127,677 is: 195,784.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,262 : 127,677 = 127,677 : x
  2. Step 2: Convert to fraction form
    83,262/127,677 = 127,677/x
  3. Step 3: Cross multiply
    83,262x = 127,677 × 127,677
  4. Step 4: Simplify right side
    83,262x = 16,301,416,329
  5. Step 5: Solve for x
    x = 16,301,416,329/83,262
  6. Step 6: Final answer
    x = 195,784.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.