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Finding the Third Proportional to 113,521 and 170,282

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Solution

The third proportional to 113,521 and 170,282 is: 255,423.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,521 : 170,282 = 170,282 : x
  2. Step 2: Convert to fraction form
    113,521/170,282 = 170,282/x
  3. Step 3: Cross multiply
    113,521x = 170,282 × 170,282
  4. Step 4: Simplify right side
    113,521x = 28,995,959,524
  5. Step 5: Solve for x
    x = 28,995,959,524/113,521
  6. Step 6: Final answer
    x = 255,423.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.