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Finding the Third Proportional to 52,942 and 113,562

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Solution

The third proportional to 52,942 and 113,562 is: 243,593.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,942 : 113,562 = 113,562 : x
  2. Step 2: Convert to fraction form
    52,942/113,562 = 113,562/x
  3. Step 3: Cross multiply
    52,942x = 113,562 × 113,562
  4. Step 4: Simplify right side
    52,942x = 12,896,327,844
  5. Step 5: Solve for x
    x = 12,896,327,844/52,942
  6. Step 6: Final answer
    x = 243,593.51

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.