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Finding the Third Proportional to 91,568 and 141,710

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Solution

The third proportional to 91,568 and 141,710 is: 219,309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,568 : 141,710 = 141,710 : x
  2. Step 2: Convert to fraction form
    91,568/141,710 = 141,710/x
  3. Step 3: Cross multiply
    91,568x = 141,710 × 141,710
  4. Step 4: Simplify right side
    91,568x = 20,081,724,100
  5. Step 5: Solve for x
    x = 20,081,724,100/91,568
  6. Step 6: Final answer
    x = 219,309.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.