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Finding the Third Proportional to 52,737 and 113,760

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Solution

The third proportional to 52,737 and 113,760 is: 245,393.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,737 : 113,760 = 113,760 : x
  2. Step 2: Convert to fraction form
    52,737/113,760 = 113,760/x
  3. Step 3: Cross multiply
    52,737x = 113,760 × 113,760
  4. Step 4: Simplify right side
    52,737x = 12,941,337,600
  5. Step 5: Solve for x
    x = 12,941,337,600/52,737
  6. Step 6: Final answer
    x = 245,393.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.