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Finding the Third Proportional to 31,056 and 67,755

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Solution

The third proportional to 31,056 and 67,755 is: 147,821.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,056 : 67,755 = 67,755 : x
  2. Step 2: Convert to fraction form
    31,056/67,755 = 67,755/x
  3. Step 3: Cross multiply
    31,056x = 67,755 × 67,755
  4. Step 4: Simplify right side
    31,056x = 4,590,740,025
  5. Step 5: Solve for x
    x = 4,590,740,025/31,056
  6. Step 6: Final answer
    x = 147,821.36

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