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Finding the Third Proportional to 75,624.75 and 105,987.38

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Solution

The third proportional to 75,624.75 and 105,987.38 is: 148,540.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,624.75 : 105,987.38 = 105,987.38 : x
  2. Step 2: Convert to fraction form
    75,624.75/105,987.38 = 105,987.38/x
  3. Step 3: Cross multiply
    75,624.75x = 105,987.38 × 105,987.38
  4. Step 4: Simplify right side
    75,624.75x = 11,233,323,659.39
  5. Step 5: Solve for x
    x = 11,233,323,659.39/75,624.75
  6. Step 6: Final answer
    x = 148,540.31

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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.