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Finding the Third Proportional to 49,329 and 72,150.75

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Solution

The third proportional to 49,329 and 72,150.75 is: 105,530.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,329 : 72,150.75 = 72,150.75 : x
  2. Step 2: Convert to fraction form
    49,329/72,150.75 = 72,150.75/x
  3. Step 3: Cross multiply
    49,329x = 72,150.75 × 72,150.75
  4. Step 4: Simplify right side
    49,329x = 5,205,730,725.56
  5. Step 5: Solve for x
    x = 5,205,730,725.56/49,329
  6. Step 6: Final answer
    x = 105,530.84

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