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Finding the Third Proportional to 31,117 and 68,282

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Solution

The third proportional to 31,117 and 68,282 is: 149,835.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,117 : 68,282 = 68,282 : x
  2. Step 2: Convert to fraction form
    31,117/68,282 = 68,282/x
  3. Step 3: Cross multiply
    31,117x = 68,282 × 68,282
  4. Step 4: Simplify right side
    31,117x = 4,662,431,524
  5. Step 5: Solve for x
    x = 4,662,431,524/31,117
  6. Step 6: Final answer
    x = 149,835.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.