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Finding the Third Proportional to 75,521 and 102,204

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Solution

The third proportional to 75,521 and 102,204 is: 138,314.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,521 : 102,204 = 102,204 : x
  2. Step 2: Convert to fraction form
    75,521/102,204 = 102,204/x
  3. Step 3: Cross multiply
    75,521x = 102,204 × 102,204
  4. Step 4: Simplify right side
    75,521x = 10,445,657,616
  5. Step 5: Solve for x
    x = 10,445,657,616/75,521
  6. Step 6: Final answer
    x = 138,314.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.