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Finding the Third Proportional to 107,993.25 and 143,301.66

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Solution

The third proportional to 107,993.25 and 143,301.66 is: 190,154.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,993.25 : 143,301.66 = 143,301.66 : x
  2. Step 2: Convert to fraction form
    107,993.25/143,301.66 = 143,301.66/x
  3. Step 3: Cross multiply
    107,993.25x = 143,301.66 × 143,301.66
  4. Step 4: Simplify right side
    107,993.25x = 20,535,364,683.99
  5. Step 5: Solve for x
    x = 20,535,364,683.99/107,993.25
  6. Step 6: Final answer
    x = 190,154.15

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.