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Finding the Third Proportional to 105,484.75 and 140,909.75

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Solution

The third proportional to 105,484.75 and 140,909.75 is: 188,231.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,484.75 : 140,909.75 = 140,909.75 : x
  2. Step 2: Convert to fraction form
    105,484.75/140,909.75 = 140,909.75/x
  3. Step 3: Cross multiply
    105,484.75x = 140,909.75 × 140,909.75
  4. Step 4: Simplify right side
    105,484.75x = 19,855,557,645.06
  5. Step 5: Solve for x
    x = 19,855,557,645.06/105,484.75
  6. Step 6: Final answer
    x = 188,231.55

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.