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Finding the Third Proportional to 45,234.75 and 68,788.13

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Solution

The third proportional to 45,234.75 and 68,788.13 is: 104,605.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,234.75 : 68,788.13 = 68,788.13 : x
  2. Step 2: Convert to fraction form
    45,234.75/68,788.13 = 68,788.13/x
  3. Step 3: Cross multiply
    45,234.75x = 68,788.13 × 68,788.13
  4. Step 4: Simplify right side
    45,234.75x = 4,731,806,141.02
  5. Step 5: Solve for x
    x = 4,731,806,141.02/45,234.75
  6. Step 6: Final answer
    x = 104,605.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.