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Finding the Third Proportional to 25,144 and 55,310

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Solution

The third proportional to 25,144 and 55,310 is: 121,667.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,144 : 55,310 = 55,310 : x
  2. Step 2: Convert to fraction form
    25,144/55,310 = 55,310/x
  3. Step 3: Cross multiply
    25,144x = 55,310 × 55,310
  4. Step 4: Simplify right side
    25,144x = 3,059,196,100
  5. Step 5: Solve for x
    x = 3,059,196,100/25,144
  6. Step 6: Final answer
    x = 121,667.04

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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.