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Finding the Third Proportional to 77,882.45 and 170,179.73

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Solution

The third proportional to 77,882.45 and 170,179.73 is: 371,857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,882.45 : 170,179.73 = 170,179.73 : x
  2. Step 2: Convert to fraction form
    77,882.45/170,179.73 = 170,179.73/x
  3. Step 3: Cross multiply
    77,882.45x = 170,179.73 × 170,179.73
  4. Step 4: Simplify right side
    77,882.45x = 28,961,141,991.95
  5. Step 5: Solve for x
    x = 28,961,141,991.95/77,882.45
  6. Step 6: Final answer
    x = 371,857.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.