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Finding the Third Proportional to 73,068.75 and 157,794.75

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Solution

The third proportional to 73,068.75 and 157,794.75 is: 340,763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,068.75 : 157,794.75 = 157,794.75 : x
  2. Step 2: Convert to fraction form
    73,068.75/157,794.75 = 157,794.75/x
  3. Step 3: Cross multiply
    73,068.75x = 157,794.75 × 157,794.75
  4. Step 4: Simplify right side
    73,068.75x = 24,899,183,127.56
  5. Step 5: Solve for x
    x = 24,899,183,127.56/73,068.75
  6. Step 6: Final answer
    x = 340,763.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.