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Finding the Third Proportional to 57,730.50 and 120,078

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Solution

The third proportional to 57,730.50 and 120,078 is: 249,759.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,730.50 : 120,078 = 120,078 : x
  2. Step 2: Convert to fraction form
    57,730.50/120,078 = 120,078/x
  3. Step 3: Cross multiply
    57,730.50x = 120,078 × 120,078
  4. Step 4: Simplify right side
    57,730.50x = 14,418,726,084
  5. Step 5: Solve for x
    x = 14,418,726,084/57,730.50
  6. Step 6: Final answer
    x = 249,759.24

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.