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Finding the Third Proportional to 25,354 and 55,128

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Solution

The third proportional to 25,354 and 55,128 is: 119,866.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,354 : 55,128 = 55,128 : x
  2. Step 2: Convert to fraction form
    25,354/55,128 = 55,128/x
  3. Step 3: Cross multiply
    25,354x = 55,128 × 55,128
  4. Step 4: Simplify right side
    25,354x = 3,039,096,384
  5. Step 5: Solve for x
    x = 3,039,096,384/25,354
  6. Step 6: Final answer
    x = 119,866.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.