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Finding the Third Proportional to 51,991 and 112,297

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Solution

The third proportional to 51,991 and 112,297 is: 242,553.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,991 : 112,297 = 112,297 : x
  2. Step 2: Convert to fraction form
    51,991/112,297 = 112,297/x
  3. Step 3: Cross multiply
    51,991x = 112,297 × 112,297
  4. Step 4: Simplify right side
    51,991x = 12,610,616,209
  5. Step 5: Solve for x
    x = 12,610,616,209/51,991
  6. Step 6: Final answer
    x = 242,553.83

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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.