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Finding the Third Proportional to 31,063.50 and 69,148.69

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Solution

The third proportional to 31,063.50 and 69,148.69 is: 153,927.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,063.50 : 69,148.69 = 69,148.69 : x
  2. Step 2: Convert to fraction form
    31,063.50/69,148.69 = 69,148.69/x
  3. Step 3: Cross multiply
    31,063.50x = 69,148.69 × 69,148.69
  4. Step 4: Simplify right side
    31,063.50x = 4,781,540,982.97
  5. Step 5: Solve for x
    x = 4,781,540,982.97/31,063.50
  6. Step 6: Final answer
    x = 153,927.95

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.