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Finding the Third Proportional to 118,174 and 177,347

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Solution

The third proportional to 118,174 and 177,347 is: 266,149.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,174 : 177,347 = 177,347 : x
  2. Step 2: Convert to fraction form
    118,174/177,347 = 177,347/x
  3. Step 3: Cross multiply
    118,174x = 177,347 × 177,347
  4. Step 4: Simplify right side
    118,174x = 31,451,958,409
  5. Step 5: Solve for x
    x = 31,451,958,409/118,174
  6. Step 6: Final answer
    x = 266,149.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.