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Finding the Third Proportional to 57,006.75 and 121,395.75

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Solution

The third proportional to 57,006.75 and 121,395.75 is: 258,511.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,006.75 : 121,395.75 = 121,395.75 : x
  2. Step 2: Convert to fraction form
    57,006.75/121,395.75 = 121,395.75/x
  3. Step 3: Cross multiply
    57,006.75x = 121,395.75 × 121,395.75
  4. Step 4: Simplify right side
    57,006.75x = 14,736,928,118.06
  5. Step 5: Solve for x
    x = 14,736,928,118.06/57,006.75
  6. Step 6: Final answer
    x = 258,511.99

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.