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Finding the Third Proportional to 25,206 and 54,516

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Solution

The third proportional to 25,206 and 54,516 is: 117,908.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,206 : 54,516 = 54,516 : x
  2. Step 2: Convert to fraction form
    25,206/54,516 = 54,516/x
  3. Step 3: Cross multiply
    25,206x = 54,516 × 54,516
  4. Step 4: Simplify right side
    25,206x = 2,971,994,256
  5. Step 5: Solve for x
    x = 2,971,994,256/25,206
  6. Step 6: Final answer
    x = 117,908.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.