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Finding the Third Proportional to 75,255.75 and 103,195.13

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Solution

The third proportional to 75,255.75 and 103,195.13 is: 141,507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,255.75 : 103,195.13 = 103,195.13 : x
  2. Step 2: Convert to fraction form
    75,255.75/103,195.13 = 103,195.13/x
  3. Step 3: Cross multiply
    75,255.75x = 103,195.13 × 103,195.13
  4. Step 4: Simplify right side
    75,255.75x = 10,649,233,823.77
  5. Step 5: Solve for x
    x = 10,649,233,823.77/75,255.75
  6. Step 6: Final answer
    x = 141,507.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.