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Finding the Third Proportional to 25,102 and 52,283

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Solution

The third proportional to 25,102 and 52,283 is: 108,896.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,102 : 52,283 = 52,283 : x
  2. Step 2: Convert to fraction form
    25,102/52,283 = 52,283/x
  3. Step 3: Cross multiply
    25,102x = 52,283 × 52,283
  4. Step 4: Simplify right side
    25,102x = 2,733,512,089
  5. Step 5: Solve for x
    x = 2,733,512,089/25,102
  6. Step 6: Final answer
    x = 108,896.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.