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Finding the Third Proportional to 51,320 and 110,282

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Solution

The third proportional to 51,320 and 110,282 is: 236,985.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,320 : 110,282 = 110,282 : x
  2. Step 2: Convert to fraction form
    51,320/110,282 = 110,282/x
  3. Step 3: Cross multiply
    51,320x = 110,282 × 110,282
  4. Step 4: Simplify right side
    51,320x = 12,162,119,524
  5. Step 5: Solve for x
    x = 12,162,119,524/51,320
  6. Step 6: Final answer
    x = 236,985.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.