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Finding the Third Proportional to 49,721 and 108,187

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Solution

The third proportional to 49,721 and 108,187 is: 235,402.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,721 : 108,187 = 108,187 : x
  2. Step 2: Convert to fraction form
    49,721/108,187 = 108,187/x
  3. Step 3: Cross multiply
    49,721x = 108,187 × 108,187
  4. Step 4: Simplify right side
    49,721x = 11,704,426,969
  5. Step 5: Solve for x
    x = 11,704,426,969/49,721
  6. Step 6: Final answer
    x = 235,402.08

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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.