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Finding the Third Proportional to 95,806 and 145,034

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Solution

The third proportional to 95,806 and 145,034 is: 219,556.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,806 : 145,034 = 145,034 : x
  2. Step 2: Convert to fraction form
    95,806/145,034 = 145,034/x
  3. Step 3: Cross multiply
    95,806x = 145,034 × 145,034
  4. Step 4: Simplify right side
    95,806x = 21,034,861,156
  5. Step 5: Solve for x
    x = 21,034,861,156/95,806
  6. Step 6: Final answer
    x = 219,556.82

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