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Finding the Third Proportional to 53,254 and 115,904

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Solution

The third proportional to 53,254 and 115,904 is: 252,257.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,254 : 115,904 = 115,904 : x
  2. Step 2: Convert to fraction form
    53,254/115,904 = 115,904/x
  3. Step 3: Cross multiply
    53,254x = 115,904 × 115,904
  4. Step 4: Simplify right side
    53,254x = 13,433,737,216
  5. Step 5: Solve for x
    x = 13,433,737,216/53,254
  6. Step 6: Final answer
    x = 252,257.81

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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.