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Finding the Third Proportional to 25,146 and 55,314

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Solution

The third proportional to 25,146 and 55,314 is: 121,674.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,146 : 55,314 = 55,314 : x
  2. Step 2: Convert to fraction form
    25,146/55,314 = 55,314/x
  3. Step 3: Cross multiply
    25,146x = 55,314 × 55,314
  4. Step 4: Simplify right side
    25,146x = 3,059,638,596
  5. Step 5: Solve for x
    x = 3,059,638,596/25,146
  6. Step 6: Final answer
    x = 121,674.96

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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.