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Finding the Third Proportional to 68,910.75 and 110,565

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Solution

The third proportional to 68,910.75 and 110,565 is: 177,397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,910.75 : 110,565 = 110,565 : x
  2. Step 2: Convert to fraction form
    68,910.75/110,565 = 110,565/x
  3. Step 3: Cross multiply
    68,910.75x = 110,565 × 110,565
  4. Step 4: Simplify right side
    68,910.75x = 12,224,619,225
  5. Step 5: Solve for x
    x = 12,224,619,225/68,910.75
  6. Step 6: Final answer
    x = 177,397.85

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.