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Finding the Third Proportional to 65,593.13 and 143,650.13

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Solution

The third proportional to 65,593.13 and 143,650.13 is: 314,596.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,593.13 : 143,650.13 = 143,650.13 : x
  2. Step 2: Convert to fraction form
    65,593.13/143,650.13 = 143,650.13/x
  3. Step 3: Cross multiply
    65,593.13x = 143,650.13 × 143,650.13
  4. Step 4: Simplify right side
    65,593.13x = 20,635,358,412.52
  5. Step 5: Solve for x
    x = 20,635,358,412.52/65,593.13
  6. Step 6: Final answer
    x = 314,596.36

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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.