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Finding the Third Proportional to 105,480.75 and 140,904.75

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Solution

The third proportional to 105,480.75 and 140,904.75 is: 188,225.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,480.75 : 140,904.75 = 140,904.75 : x
  2. Step 2: Convert to fraction form
    105,480.75/140,904.75 = 140,904.75/x
  3. Step 3: Cross multiply
    105,480.75x = 140,904.75 × 140,904.75
  4. Step 4: Simplify right side
    105,480.75x = 19,854,148,572.56
  5. Step 5: Solve for x
    x = 19,854,148,572.56/105,480.75
  6. Step 6: Final answer
    x = 188,225.33

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Why These Related Problems?

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