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Finding the Third Proportional to 49,770 and 73,203

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Solution

The third proportional to 49,770 and 73,203 is: 107,668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,770 : 73,203 = 73,203 : x
  2. Step 2: Convert to fraction form
    49,770/73,203 = 73,203/x
  3. Step 3: Cross multiply
    49,770x = 73,203 × 73,203
  4. Step 4: Simplify right side
    49,770x = 5,358,679,209
  5. Step 5: Solve for x
    x = 5,358,679,209/49,770
  6. Step 6: Final answer
    x = 107,668.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.