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Finding the Third Proportional to 67,298.20 and 104,255.86

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Solution

The third proportional to 67,298.20 and 104,255.86 is: 161,509.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,298.20 : 104,255.86 = 104,255.86 : x
  2. Step 2: Convert to fraction form
    67,298.20/104,255.86 = 104,255.86/x
  3. Step 3: Cross multiply
    67,298.20x = 104,255.86 × 104,255.86
  4. Step 4: Simplify right side
    67,298.20x = 10,869,284,214.02
  5. Step 5: Solve for x
    x = 10,869,284,214.02/67,298.20
  6. Step 6: Final answer
    x = 161,509.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.