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Finding the Third Proportional to 74,829.38 and 109,452.94

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Solution

The third proportional to 74,829.38 and 109,452.94 is: 160,096.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,829.38 : 109,452.94 = 109,452.94 : x
  2. Step 2: Convert to fraction form
    74,829.38/109,452.94 = 109,452.94/x
  3. Step 3: Cross multiply
    74,829.38x = 109,452.94 × 109,452.94
  4. Step 4: Simplify right side
    74,829.38x = 11,979,945,527.38
  5. Step 5: Solve for x
    x = 11,979,945,527.38/74,829.38
  6. Step 6: Final answer
    x = 160,096.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.