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Finding the Third Proportional to 31,223 and 67,988

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Solution

The third proportional to 31,223 and 67,988 is: 148,043.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,223 : 67,988 = 67,988 : x
  2. Step 2: Convert to fraction form
    31,223/67,988 = 67,988/x
  3. Step 3: Cross multiply
    31,223x = 67,988 × 67,988
  4. Step 4: Simplify right side
    31,223x = 4,622,368,144
  5. Step 5: Solve for x
    x = 4,622,368,144/31,223
  6. Step 6: Final answer
    x = 148,043.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.