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Finding the Third Proportional to 49,914 and 72,919

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Solution

The third proportional to 49,914 and 72,919 is: 106,526.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,914 : 72,919 = 72,919 : x
  2. Step 2: Convert to fraction form
    49,914/72,919 = 72,919/x
  3. Step 3: Cross multiply
    49,914x = 72,919 × 72,919
  4. Step 4: Simplify right side
    49,914x = 5,317,180,561
  5. Step 5: Solve for x
    x = 5,317,180,561/49,914
  6. Step 6: Final answer
    x = 106,526.84

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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.