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Finding the Third Proportional to 65,715.68 and 143,593.38

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Solution

The third proportional to 65,715.68 and 143,593.38 is: 313,761.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,715.68 : 143,593.38 = 143,593.38 : x
  2. Step 2: Convert to fraction form
    65,715.68/143,593.38 = 143,593.38/x
  3. Step 3: Cross multiply
    65,715.68x = 143,593.38 × 143,593.38
  4. Step 4: Simplify right side
    65,715.68x = 20,619,059,587.54
  5. Step 5: Solve for x
    x = 20,619,059,587.54/65,715.68
  6. Step 6: Final answer
    x = 313,761.64

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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.