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Finding the Third Proportional to 51,608.19 and 72,673.69

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Solution

The third proportional to 51,608.19 and 72,673.69 is: 102,337.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,608.19 : 72,673.69 = 72,673.69 : x
  2. Step 2: Convert to fraction form
    51,608.19/72,673.69 = 72,673.69/x
  3. Step 3: Cross multiply
    51,608.19x = 72,673.69 × 72,673.69
  4. Step 4: Simplify right side
    51,608.19x = 5,281,464,854.85
  5. Step 5: Solve for x
    x = 5,281,464,854.85/51,608.19
  6. Step 6: Final answer
    x = 102,337.73

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.