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Finding the Third Proportional to 25,087 and 55,293

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Solution

The third proportional to 25,087 and 55,293 is: 121,868.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,087 : 55,293 = 55,293 : x
  2. Step 2: Convert to fraction form
    25,087/55,293 = 55,293/x
  3. Step 3: Cross multiply
    25,087x = 55,293 × 55,293
  4. Step 4: Simplify right side
    25,087x = 3,057,315,849
  5. Step 5: Solve for x
    x = 3,057,315,849/25,087
  6. Step 6: Final answer
    x = 121,868.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.