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Finding the Third Proportional to 52,686 and 114,102

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Solution

The third proportional to 52,686 and 114,102 is: 247,110.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,686 : 114,102 = 114,102 : x
  2. Step 2: Convert to fraction form
    52,686/114,102 = 114,102/x
  3. Step 3: Cross multiply
    52,686x = 114,102 × 114,102
  4. Step 4: Simplify right side
    52,686x = 13,019,266,404
  5. Step 5: Solve for x
    x = 13,019,266,404/52,686
  6. Step 6: Final answer
    x = 247,110.55

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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.