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Finding the Third Proportional to 42,711.75 and 68,017.50

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Solution

The third proportional to 42,711.75 and 68,017.50 is: 108,316.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,711.75 : 68,017.50 = 68,017.50 : x
  2. Step 2: Convert to fraction form
    42,711.75/68,017.50 = 68,017.50/x
  3. Step 3: Cross multiply
    42,711.75x = 68,017.50 × 68,017.50
  4. Step 4: Simplify right side
    42,711.75x = 4,626,380,306.25
  5. Step 5: Solve for x
    x = 4,626,380,306.25/42,711.75
  6. Step 6: Final answer
    x = 108,316.34

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.