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Finding the Third Proportional to 52,044 and 112,837

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Solution

The third proportional to 52,044 and 112,837 is: 244,642.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,044 : 112,837 = 112,837 : x
  2. Step 2: Convert to fraction form
    52,044/112,837 = 112,837/x
  3. Step 3: Cross multiply
    52,044x = 112,837 × 112,837
  4. Step 4: Simplify right side
    52,044x = 12,732,188,569
  5. Step 5: Solve for x
    x = 12,732,188,569/52,044
  6. Step 6: Final answer
    x = 244,642.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.