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Finding the Third Proportional to 70,365.38 and 143,596.13

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Solution

The third proportional to 70,365.38 and 143,596.13 is: 293,039.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,365.38 : 143,596.13 = 143,596.13 : x
  2. Step 2: Convert to fraction form
    70,365.38/143,596.13 = 143,596.13/x
  3. Step 3: Cross multiply
    70,365.38x = 143,596.13 × 143,596.13
  4. Step 4: Simplify right side
    70,365.38x = 20,619,847,115.02
  5. Step 5: Solve for x
    x = 20,619,847,115.02/70,365.38
  6. Step 6: Final answer
    x = 293,039.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.