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Finding the Third Proportional to 73,758.09 and 152,766

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Solution

The third proportional to 73,758.09 and 152,766 is: 316,405.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,758.09 : 152,766 = 152,766 : x
  2. Step 2: Convert to fraction form
    73,758.09/152,766 = 152,766/x
  3. Step 3: Cross multiply
    73,758.09x = 152,766 × 152,766
  4. Step 4: Simplify right side
    73,758.09x = 23,337,450,756
  5. Step 5: Solve for x
    x = 23,337,450,756/73,758.09
  6. Step 6: Final answer
    x = 316,405.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.