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Finding the Third Proportional to 52,377 and 113,865

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Solution

The third proportional to 52,377 and 113,865 is: 247,536.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,377 : 113,865 = 113,865 : x
  2. Step 2: Convert to fraction form
    52,377/113,865 = 113,865/x
  3. Step 3: Cross multiply
    52,377x = 113,865 × 113,865
  4. Step 4: Simplify right side
    52,377x = 12,965,238,225
  5. Step 5: Solve for x
    x = 12,965,238,225/52,377
  6. Step 6: Final answer
    x = 247,536.86

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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.