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Finding the Third Proportional to 53,081 and 115,368

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Solution

The third proportional to 53,081 and 115,368 is: 250,744.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,081 : 115,368 = 115,368 : x
  2. Step 2: Convert to fraction form
    53,081/115,368 = 115,368/x
  3. Step 3: Cross multiply
    53,081x = 115,368 × 115,368
  4. Step 4: Simplify right side
    53,081x = 13,309,775,424
  5. Step 5: Solve for x
    x = 13,309,775,424/53,081
  6. Step 6: Final answer
    x = 250,744.62

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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.