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Finding the Third Proportional to 25,177 and 49,706

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Solution

The third proportional to 25,177 and 49,706 is: 98,132.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,177 : 49,706 = 49,706 : x
  2. Step 2: Convert to fraction form
    25,177/49,706 = 49,706/x
  3. Step 3: Cross multiply
    25,177x = 49,706 × 49,706
  4. Step 4: Simplify right side
    25,177x = 2,470,686,436
  5. Step 5: Solve for x
    x = 2,470,686,436/25,177
  6. Step 6: Final answer
    x = 98,132.68

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.