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Finding the Third Proportional to 25,207 and 54,265

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Solution

The third proportional to 25,207 and 54,265 is: 116,820.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,207 : 54,265 = 54,265 : x
  2. Step 2: Convert to fraction form
    25,207/54,265 = 54,265/x
  3. Step 3: Cross multiply
    25,207x = 54,265 × 54,265
  4. Step 4: Simplify right side
    25,207x = 2,944,690,225
  5. Step 5: Solve for x
    x = 2,944,690,225/25,207
  6. Step 6: Final answer
    x = 116,820.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.