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Finding the Third Proportional to 49,531.50 and 81,267.75

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Solution

The third proportional to 49,531.50 and 81,267.75 is: 133,338.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,531.50 : 81,267.75 = 81,267.75 : x
  2. Step 2: Convert to fraction form
    49,531.50/81,267.75 = 81,267.75/x
  3. Step 3: Cross multiply
    49,531.50x = 81,267.75 × 81,267.75
  4. Step 4: Simplify right side
    49,531.50x = 6,604,447,190.06
  5. Step 5: Solve for x
    x = 6,604,447,190.06/49,531.50
  6. Step 6: Final answer
    x = 133,338.32

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.