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Finding the Third Proportional to 65,731.50 and 143,902

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Solution

The third proportional to 65,731.50 and 143,902 is: 315,035.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,731.50 : 143,902 = 143,902 : x
  2. Step 2: Convert to fraction form
    65,731.50/143,902 = 143,902/x
  3. Step 3: Cross multiply
    65,731.50x = 143,902 × 143,902
  4. Step 4: Simplify right side
    65,731.50x = 20,707,785,604
  5. Step 5: Solve for x
    x = 20,707,785,604/65,731.50
  6. Step 6: Final answer
    x = 315,035.95

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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.