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Finding the Third Proportional to 67,952.50 and 138,160.50

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Solution

The third proportional to 67,952.50 and 138,160.50 is: 280,906.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,952.50 : 138,160.50 = 138,160.50 : x
  2. Step 2: Convert to fraction form
    67,952.50/138,160.50 = 138,160.50/x
  3. Step 3: Cross multiply
    67,952.50x = 138,160.50 × 138,160.50
  4. Step 4: Simplify right side
    67,952.50x = 19,088,323,760.25
  5. Step 5: Solve for x
    x = 19,088,323,760.25/67,952.50
  6. Step 6: Final answer
    x = 280,906.87

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.