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Finding the Third Proportional to 55,863 and 131,754

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Solution

The third proportional to 55,863 and 131,754 is: 310,744.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,863 : 131,754 = 131,754 : x
  2. Step 2: Convert to fraction form
    55,863/131,754 = 131,754/x
  3. Step 3: Cross multiply
    55,863x = 131,754 × 131,754
  4. Step 4: Simplify right side
    55,863x = 17,359,116,516
  5. Step 5: Solve for x
    x = 17,359,116,516/55,863
  6. Step 6: Final answer
    x = 310,744.44

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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.