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Finding the Third Proportional to 42,531 and 92,844.09

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Solution

The third proportional to 42,531 and 92,844.09 is: 202,676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,531 : 92,844.09 = 92,844.09 : x
  2. Step 2: Convert to fraction form
    42,531/92,844.09 = 92,844.09/x
  3. Step 3: Cross multiply
    42,531x = 92,844.09 × 92,844.09
  4. Step 4: Simplify right side
    42,531x = 8,620,025,744.26
  5. Step 5: Solve for x
    x = 8,620,025,744.26/42,531
  6. Step 6: Final answer
    x = 202,676.30

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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.