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Finding the Third Proportional to 52,634 and 115,092

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Solution

The third proportional to 52,634 and 115,092 is: 251,665.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,634 : 115,092 = 115,092 : x
  2. Step 2: Convert to fraction form
    52,634/115,092 = 115,092/x
  3. Step 3: Cross multiply
    52,634x = 115,092 × 115,092
  4. Step 4: Simplify right side
    52,634x = 13,246,168,464
  5. Step 5: Solve for x
    x = 13,246,168,464/52,634
  6. Step 6: Final answer
    x = 251,665.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.