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Finding the Third Proportional to 65,608 and 143,816

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Solution

The third proportional to 65,608 and 143,816 is: 315,251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,608 : 143,816 = 143,816 : x
  2. Step 2: Convert to fraction form
    65,608/143,816 = 143,816/x
  3. Step 3: Cross multiply
    65,608x = 143,816 × 143,816
  4. Step 4: Simplify right side
    65,608x = 20,683,041,856
  5. Step 5: Solve for x
    x = 20,683,041,856/65,608
  6. Step 6: Final answer
    x = 315,251.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.