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Finding the Third Proportional to 49,346 and 108,531

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Solution

The third proportional to 49,346 and 108,531 is: 238,701.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,346 : 108,531 = 108,531 : x
  2. Step 2: Convert to fraction form
    49,346/108,531 = 108,531/x
  3. Step 3: Cross multiply
    49,346x = 108,531 × 108,531
  4. Step 4: Simplify right side
    49,346x = 11,778,977,961
  5. Step 5: Solve for x
    x = 11,778,977,961/49,346
  6. Step 6: Final answer
    x = 238,701.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.