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Finding the Third Proportional to 52,941 and 113,551

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Solution

The third proportional to 52,941 and 113,551 is: 243,550.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,941 : 113,551 = 113,551 : x
  2. Step 2: Convert to fraction form
    52,941/113,551 = 113,551/x
  3. Step 3: Cross multiply
    52,941x = 113,551 × 113,551
  4. Step 4: Simplify right side
    52,941x = 12,893,829,601
  5. Step 5: Solve for x
    x = 12,893,829,601/52,941
  6. Step 6: Final answer
    x = 243,550.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.