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Finding the Third Proportional to 52,100.72 and 121,822.73

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Solution

The third proportional to 52,100.72 and 121,822.73 is: 284,847.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,100.72 : 121,822.73 = 121,822.73 : x
  2. Step 2: Convert to fraction form
    52,100.72/121,822.73 = 121,822.73/x
  3. Step 3: Cross multiply
    52,100.72x = 121,822.73 × 121,822.73
  4. Step 4: Simplify right side
    52,100.72x = 14,840,778,610.60
  5. Step 5: Solve for x
    x = 14,840,778,610.60/52,100.72
  6. Step 6: Final answer
    x = 284,847.87

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.