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Finding the Third Proportional to 56,282 and 120,098

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Solution

The third proportional to 56,282 and 120,098 is: 256,272.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,282 : 120,098 = 120,098 : x
  2. Step 2: Convert to fraction form
    56,282/120,098 = 120,098/x
  3. Step 3: Cross multiply
    56,282x = 120,098 × 120,098
  4. Step 4: Simplify right side
    56,282x = 14,423,529,604
  5. Step 5: Solve for x
    x = 14,423,529,604/56,282
  6. Step 6: Final answer
    x = 256,272.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.