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Finding the Third Proportional to 51,926 and 113,464

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Solution

The third proportional to 51,926 and 113,464 is: 247,931.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,926 : 113,464 = 113,464 : x
  2. Step 2: Convert to fraction form
    51,926/113,464 = 113,464/x
  3. Step 3: Cross multiply
    51,926x = 113,464 × 113,464
  4. Step 4: Simplify right side
    51,926x = 12,874,079,296
  5. Step 5: Solve for x
    x = 12,874,079,296/51,926
  6. Step 6: Final answer
    x = 247,931.27

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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.