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Finding the Third Proportional to 55,643.75 and 131,222.25

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Solution

The third proportional to 55,643.75 and 131,222.25 is: 309,455.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,643.75 : 131,222.25 = 131,222.25 : x
  2. Step 2: Convert to fraction form
    55,643.75/131,222.25 = 131,222.25/x
  3. Step 3: Cross multiply
    55,643.75x = 131,222.25 × 131,222.25
  4. Step 4: Simplify right side
    55,643.75x = 17,219,278,895.06
  5. Step 5: Solve for x
    x = 17,219,278,895.06/55,643.75
  6. Step 6: Final answer
    x = 309,455.76

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.