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Finding the Third Proportional to 56,758.50 and 120,435.50

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Solution

The third proportional to 56,758.50 and 120,435.50 is: 255,551.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,758.50 : 120,435.50 = 120,435.50 : x
  2. Step 2: Convert to fraction form
    56,758.50/120,435.50 = 120,435.50/x
  3. Step 3: Cross multiply
    56,758.50x = 120,435.50 × 120,435.50
  4. Step 4: Simplify right side
    56,758.50x = 14,504,709,660.25
  5. Step 5: Solve for x
    x = 14,504,709,660.25/56,758.50
  6. Step 6: Final answer
    x = 255,551.32

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.