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Finding the Third Proportional to 65,600 and 141,568

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Solution

The third proportional to 65,600 and 141,568 is: 305,510.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,600 : 141,568 = 141,568 : x
  2. Step 2: Convert to fraction form
    65,600/141,568 = 141,568/x
  3. Step 3: Cross multiply
    65,600x = 141,568 × 141,568
  4. Step 4: Simplify right side
    65,600x = 20,041,498,624
  5. Step 5: Solve for x
    x = 20,041,498,624/65,600
  6. Step 6: Final answer
    x = 305,510.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.