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Finding the Third Proportional to 62,890 and 95,146

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Solution

The third proportional to 62,890 and 95,146 is: 143,945.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,890 : 95,146 = 95,146 : x
  2. Step 2: Convert to fraction form
    62,890/95,146 = 95,146/x
  3. Step 3: Cross multiply
    62,890x = 95,146 × 95,146
  4. Step 4: Simplify right side
    62,890x = 9,052,761,316
  5. Step 5: Solve for x
    x = 9,052,761,316/62,890
  6. Step 6: Final answer
    x = 143,945.96

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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.