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Finding the Third Proportional to 47,919 and 73,552.50

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Solution

The third proportional to 47,919 and 73,552.50 is: 112,898.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,919 : 73,552.50 = 73,552.50 : x
  2. Step 2: Convert to fraction form
    47,919/73,552.50 = 73,552.50/x
  3. Step 3: Cross multiply
    47,919x = 73,552.50 × 73,552.50
  4. Step 4: Simplify right side
    47,919x = 5,409,970,256.25
  5. Step 5: Solve for x
    x = 5,409,970,256.25/47,919
  6. Step 6: Final answer
    x = 112,898.23

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.