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Finding the Third Proportional to 49,551 and 108,033

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Solution

The third proportional to 49,551 and 108,033 is: 235,537.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,551 : 108,033 = 108,033 : x
  2. Step 2: Convert to fraction form
    49,551/108,033 = 108,033/x
  3. Step 3: Cross multiply
    49,551x = 108,033 × 108,033
  4. Step 4: Simplify right side
    49,551x = 11,671,129,089
  5. Step 5: Solve for x
    x = 11,671,129,089/49,551
  6. Step 6: Final answer
    x = 235,537.71

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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.