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Finding the Third Proportional to 51,960.50 and 111,643

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Solution

The third proportional to 51,960.50 and 111,643 is: 239,877.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,960.50 : 111,643 = 111,643 : x
  2. Step 2: Convert to fraction form
    51,960.50/111,643 = 111,643/x
  3. Step 3: Cross multiply
    51,960.50x = 111,643 × 111,643
  4. Step 4: Simplify right side
    51,960.50x = 12,464,159,449
  5. Step 5: Solve for x
    x = 12,464,159,449/51,960.50
  6. Step 6: Final answer
    x = 239,877.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.