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Finding the Third Proportional to 52,043 and 112,771

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Solution

The third proportional to 52,043 and 112,771 is: 244,361.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,043 : 112,771 = 112,771 : x
  2. Step 2: Convert to fraction form
    52,043/112,771 = 112,771/x
  3. Step 3: Cross multiply
    52,043x = 112,771 × 112,771
  4. Step 4: Simplify right side
    52,043x = 12,717,298,441
  5. Step 5: Solve for x
    x = 12,717,298,441/52,043
  6. Step 6: Final answer
    x = 244,361.36

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Why These Related Problems?

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