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Finding the Third Proportional to 107,234 and 177,699

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Solution

The third proportional to 107,234 and 177,699 is: 294,467.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,234 : 177,699 = 177,699 : x
  2. Step 2: Convert to fraction form
    107,234/177,699 = 177,699/x
  3. Step 3: Cross multiply
    107,234x = 177,699 × 177,699
  4. Step 4: Simplify right side
    107,234x = 31,576,934,601
  5. Step 5: Solve for x
    x = 31,576,934,601/107,234
  6. Step 6: Final answer
    x = 294,467.56

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.