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Finding the Third Proportional to 59,274 and 86,568

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Solution

The third proportional to 59,274 and 86,568 is: 126,430.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,274 : 86,568 = 86,568 : x
  2. Step 2: Convert to fraction form
    59,274/86,568 = 86,568/x
  3. Step 3: Cross multiply
    59,274x = 86,568 × 86,568
  4. Step 4: Simplify right side
    59,274x = 7,494,018,624
  5. Step 5: Solve for x
    x = 7,494,018,624/59,274
  6. Step 6: Final answer
    x = 126,430.11

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.