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Finding the Third Proportional to 88,144 and 134,282

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Solution

The third proportional to 88,144 and 134,282 is: 204,570.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,144 : 134,282 = 134,282 : x
  2. Step 2: Convert to fraction form
    88,144/134,282 = 134,282/x
  3. Step 3: Cross multiply
    88,144x = 134,282 × 134,282
  4. Step 4: Simplify right side
    88,144x = 18,031,655,524
  5. Step 5: Solve for x
    x = 18,031,655,524/88,144
  6. Step 6: Final answer
    x = 204,570.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.