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Finding the Third Proportional to 73,112.63 and 160,180.88

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Solution

The third proportional to 73,112.63 and 160,180.88 is: 350,936.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,112.63 : 160,180.88 = 160,180.88 : x
  2. Step 2: Convert to fraction form
    73,112.63/160,180.88 = 160,180.88/x
  3. Step 3: Cross multiply
    73,112.63x = 160,180.88 × 160,180.88
  4. Step 4: Simplify right side
    73,112.63x = 25,657,912,715.77
  5. Step 5: Solve for x
    x = 25,657,912,715.77/73,112.63
  6. Step 6: Final answer
    x = 350,936.83

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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.