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Finding the Third Proportional to 49,244.50 and 80,904

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Solution

The third proportional to 49,244.50 and 80,904 is: 132,917.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,244.50 : 80,904 = 80,904 : x
  2. Step 2: Convert to fraction form
    49,244.50/80,904 = 80,904/x
  3. Step 3: Cross multiply
    49,244.50x = 80,904 × 80,904
  4. Step 4: Simplify right side
    49,244.50x = 6,545,457,216
  5. Step 5: Solve for x
    x = 6,545,457,216/49,244.50
  6. Step 6: Final answer
    x = 132,917.53

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