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Finding the Third Proportional to 51,915 and 115,926

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Solution

The third proportional to 51,915 and 115,926 is: 258,862.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,915 : 115,926 = 115,926 : x
  2. Step 2: Convert to fraction form
    51,915/115,926 = 115,926/x
  3. Step 3: Cross multiply
    51,915x = 115,926 × 115,926
  4. Step 4: Simplify right side
    51,915x = 13,438,837,476
  5. Step 5: Solve for x
    x = 13,438,837,476/51,915
  6. Step 6: Final answer
    x = 258,862.32

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.