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Finding the Third Proportional to 31,283 and 67,600

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Solution

The third proportional to 31,283 and 67,600 is: 146,078.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,283 : 67,600 = 67,600 : x
  2. Step 2: Convert to fraction form
    31,283/67,600 = 67,600/x
  3. Step 3: Cross multiply
    31,283x = 67,600 × 67,600
  4. Step 4: Simplify right side
    31,283x = 4,569,760,000
  5. Step 5: Solve for x
    x = 4,569,760,000/31,283
  6. Step 6: Final answer
    x = 146,078.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.