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Finding the Third Proportional to 69,150.50 and 140,837

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Solution

The third proportional to 69,150.50 and 140,837 is: 286,839.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,150.50 : 140,837 = 140,837 : x
  2. Step 2: Convert to fraction form
    69,150.50/140,837 = 140,837/x
  3. Step 3: Cross multiply
    69,150.50x = 140,837 × 140,837
  4. Step 4: Simplify right side
    69,150.50x = 19,835,060,569
  5. Step 5: Solve for x
    x = 19,835,060,569/69,150.50
  6. Step 6: Final answer
    x = 286,839.00

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.