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Finding the Third Proportional to 55,009.50 and 81,516

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Solution

The third proportional to 55,009.50 and 81,516 is: 120,794.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,009.50 : 81,516 = 81,516 : x
  2. Step 2: Convert to fraction form
    55,009.50/81,516 = 81,516/x
  3. Step 3: Cross multiply
    55,009.50x = 81,516 × 81,516
  4. Step 4: Simplify right side
    55,009.50x = 6,644,858,256
  5. Step 5: Solve for x
    x = 6,644,858,256/55,009.50
  6. Step 6: Final answer
    x = 120,794.74

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.