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Finding the Third Proportional to 74,775.66 and 157,995.56

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Solution

The third proportional to 74,775.66 and 157,995.56 is: 333,833.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,775.66 : 157,995.56 = 157,995.56 : x
  2. Step 2: Convert to fraction form
    74,775.66/157,995.56 = 157,995.56/x
  3. Step 3: Cross multiply
    74,775.66x = 157,995.56 × 157,995.56
  4. Step 4: Simplify right side
    74,775.66x = 24,962,597,769.69
  5. Step 5: Solve for x
    x = 24,962,597,769.69/74,775.66
  6. Step 6: Final answer
    x = 333,833.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.