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Finding the Third Proportional to 49,869.75 and 109,278

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Solution

The third proportional to 49,869.75 and 109,278 is: 239,457.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,869.75 : 109,278 = 109,278 : x
  2. Step 2: Convert to fraction form
    49,869.75/109,278 = 109,278/x
  3. Step 3: Cross multiply
    49,869.75x = 109,278 × 109,278
  4. Step 4: Simplify right side
    49,869.75x = 11,941,681,284
  5. Step 5: Solve for x
    x = 11,941,681,284/49,869.75
  6. Step 6: Final answer
    x = 239,457.41

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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.