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Finding the Third Proportional to 70,723.13 and 143,496.56

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Solution

The third proportional to 70,723.13 and 143,496.56 is: 291,153.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,723.13 : 143,496.56 = 143,496.56 : x
  2. Step 2: Convert to fraction form
    70,723.13/143,496.56 = 143,496.56/x
  3. Step 3: Cross multiply
    70,723.13x = 143,496.56 × 143,496.56
  4. Step 4: Simplify right side
    70,723.13x = 20,591,263,449.32
  5. Step 5: Solve for x
    x = 20,591,263,449.32/70,723.13
  6. Step 6: Final answer
    x = 291,153.19

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.