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Finding the Third Proportional to 74,709.84 and 161,222.91

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Solution

The third proportional to 74,709.84 and 161,222.91 is: 347,917.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,709.84 : 161,222.91 = 161,222.91 : x
  2. Step 2: Convert to fraction form
    74,709.84/161,222.91 = 161,222.91/x
  3. Step 3: Cross multiply
    74,709.84x = 161,222.91 × 161,222.91
  4. Step 4: Simplify right side
    74,709.84x = 25,992,825,499.70
  5. Step 5: Solve for x
    x = 25,992,825,499.70/74,709.84
  6. Step 6: Final answer
    x = 347,917.01

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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.