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Finding the Third Proportional to 75,651.75 and 106,023.38

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Solution

The third proportional to 75,651.75 and 106,023.38 is: 148,588.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,651.75 : 106,023.38 = 106,023.38 : x
  2. Step 2: Convert to fraction form
    75,651.75/106,023.38 = 106,023.38/x
  3. Step 3: Cross multiply
    75,651.75x = 106,023.38 × 106,023.38
  4. Step 4: Simplify right side
    75,651.75x = 11,240,956,046.39
  5. Step 5: Solve for x
    x = 11,240,956,046.39/75,651.75
  6. Step 6: Final answer
    x = 148,588.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.