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Finding the Third Proportional to 67,138.50 and 90,859.50

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Solution

The third proportional to 67,138.50 and 90,859.50 is: 122,961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,138.50 : 90,859.50 = 90,859.50 : x
  2. Step 2: Convert to fraction form
    67,138.50/90,859.50 = 90,859.50/x
  3. Step 3: Cross multiply
    67,138.50x = 90,859.50 × 90,859.50
  4. Step 4: Simplify right side
    67,138.50x = 8,255,448,740.25
  5. Step 5: Solve for x
    x = 8,255,448,740.25/67,138.50
  6. Step 6: Final answer
    x = 122,961.47

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.