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Finding the Third Proportional to 83,266 and 126,985

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Solution

The third proportional to 83,266 and 126,985 is: 193,658.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,266 : 126,985 = 126,985 : x
  2. Step 2: Convert to fraction form
    83,266/126,985 = 126,985/x
  3. Step 3: Cross multiply
    83,266x = 126,985 × 126,985
  4. Step 4: Simplify right side
    83,266x = 16,125,190,225
  5. Step 5: Solve for x
    x = 16,125,190,225/83,266
  6. Step 6: Final answer
    x = 193,658.76

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