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Finding the Third Proportional to 55,593 and 81,919.50

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Solution

The third proportional to 55,593 and 81,919.50 is: 120,713.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,593 : 81,919.50 = 81,919.50 : x
  2. Step 2: Convert to fraction form
    55,593/81,919.50 = 81,919.50/x
  3. Step 3: Cross multiply
    55,593x = 81,919.50 × 81,919.50
  4. Step 4: Simplify right side
    55,593x = 6,710,804,480.25
  5. Step 5: Solve for x
    x = 6,710,804,480.25/55,593
  6. Step 6: Final answer
    x = 120,713.12

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.