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Finding the Third Proportional to 65,910.50 and 142,189

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Solution

The third proportional to 65,910.50 and 142,189 is: 306,744.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,910.50 : 142,189 = 142,189 : x
  2. Step 2: Convert to fraction form
    65,910.50/142,189 = 142,189/x
  3. Step 3: Cross multiply
    65,910.50x = 142,189 × 142,189
  4. Step 4: Simplify right side
    65,910.50x = 20,217,711,721
  5. Step 5: Solve for x
    x = 20,217,711,721/65,910.50
  6. Step 6: Final answer
    x = 306,744.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.