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Finding the Third Proportional to 31,260 and 68,239.50

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Solution

The third proportional to 31,260 and 68,239.50 is: 148,964.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,260 : 68,239.50 = 68,239.50 : x
  2. Step 2: Convert to fraction form
    31,260/68,239.50 = 68,239.50/x
  3. Step 3: Cross multiply
    31,260x = 68,239.50 × 68,239.50
  4. Step 4: Simplify right side
    31,260x = 4,656,629,360.25
  5. Step 5: Solve for x
    x = 4,656,629,360.25/31,260
  6. Step 6: Final answer
    x = 148,964.47

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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.