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Finding the Third Proportional to 95,290 and 140,082

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Solution

The third proportional to 95,290 and 140,082 is: 205,928.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,290 : 140,082 = 140,082 : x
  2. Step 2: Convert to fraction form
    95,290/140,082 = 140,082/x
  3. Step 3: Cross multiply
    95,290x = 140,082 × 140,082
  4. Step 4: Simplify right side
    95,290x = 19,622,966,724
  5. Step 5: Solve for x
    x = 19,622,966,724/95,290
  6. Step 6: Final answer
    x = 205,928.92

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.