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Finding the Third Proportional to 52,096 and 77,801

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Solution

The third proportional to 52,096 and 77,801 is: 116,189.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,096 : 77,801 = 77,801 : x
  2. Step 2: Convert to fraction form
    52,096/77,801 = 77,801/x
  3. Step 3: Cross multiply
    52,096x = 77,801 × 77,801
  4. Step 4: Simplify right side
    52,096x = 6,052,995,601
  5. Step 5: Solve for x
    x = 6,052,995,601/52,096
  6. Step 6: Final answer
    x = 116,189.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.