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Finding the Third Proportional to 52,896 and 115,288

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Solution

The third proportional to 52,896 and 115,288 is: 251,272.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,896 : 115,288 = 115,288 : x
  2. Step 2: Convert to fraction form
    52,896/115,288 = 115,288/x
  3. Step 3: Cross multiply
    52,896x = 115,288 × 115,288
  4. Step 4: Simplify right side
    52,896x = 13,291,322,944
  5. Step 5: Solve for x
    x = 13,291,322,944/52,896
  6. Step 6: Final answer
    x = 251,272.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.