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Finding the Third Proportional to 62,268 and 95,712

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Solution

The third proportional to 62,268 and 95,712 is: 147,118.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,268 : 95,712 = 95,712 : x
  2. Step 2: Convert to fraction form
    62,268/95,712 = 95,712/x
  3. Step 3: Cross multiply
    62,268x = 95,712 × 95,712
  4. Step 4: Simplify right side
    62,268x = 9,160,786,944
  5. Step 5: Solve for x
    x = 9,160,786,944/62,268
  6. Step 6: Final answer
    x = 147,118.70

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.