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Finding the Third Proportional to 49,873.50 and 109,284

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Solution

The third proportional to 49,873.50 and 109,284 is: 239,465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,873.50 : 109,284 = 109,284 : x
  2. Step 2: Convert to fraction form
    49,873.50/109,284 = 109,284/x
  3. Step 3: Cross multiply
    49,873.50x = 109,284 × 109,284
  4. Step 4: Simplify right side
    49,873.50x = 11,942,992,656
  5. Step 5: Solve for x
    x = 11,942,992,656/49,873.50
  6. Step 6: Final answer
    x = 239,465.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.