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Finding the Third Proportional to 73,977.50 and 159,778.13

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Solution

The third proportional to 73,977.50 and 159,778.13 is: 345,092.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,977.50 : 159,778.13 = 159,778.13 : x
  2. Step 2: Convert to fraction form
    73,977.50/159,778.13 = 159,778.13/x
  3. Step 3: Cross multiply
    73,977.50x = 159,778.13 × 159,778.13
  4. Step 4: Simplify right side
    73,977.50x = 25,529,049,228.52
  5. Step 5: Solve for x
    x = 25,529,049,228.52/73,977.50
  6. Step 6: Final answer
    x = 345,092.08

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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.