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Finding the Third Proportional to 51,531 and 108,693

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Solution

The third proportional to 51,531 and 108,693 is: 229,263.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,531 : 108,693 = 108,693 : x
  2. Step 2: Convert to fraction form
    51,531/108,693 = 108,693/x
  3. Step 3: Cross multiply
    51,531x = 108,693 × 108,693
  4. Step 4: Simplify right side
    51,531x = 11,814,168,249
  5. Step 5: Solve for x
    x = 11,814,168,249/51,531
  6. Step 6: Final answer
    x = 229,263.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.