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Finding the Third Proportional to 47,199 and 72,919.50

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Solution

The third proportional to 47,199 and 72,919.50 is: 112,656.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,199 : 72,919.50 = 72,919.50 : x
  2. Step 2: Convert to fraction form
    47,199/72,919.50 = 72,919.50/x
  3. Step 3: Cross multiply
    47,199x = 72,919.50 × 72,919.50
  4. Step 4: Simplify right side
    47,199x = 5,317,253,480.25
  5. Step 5: Solve for x
    x = 5,317,253,480.25/47,199
  6. Step 6: Final answer
    x = 112,656.06

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.