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Finding the Third Proportional to 118,182 and 177,359

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Solution

The third proportional to 118,182 and 177,359 is: 266,167.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,182 : 177,359 = 177,359 : x
  2. Step 2: Convert to fraction form
    118,182/177,359 = 177,359/x
  3. Step 3: Cross multiply
    118,182x = 177,359 × 177,359
  4. Step 4: Simplify right side
    118,182x = 31,456,214,881
  5. Step 5: Solve for x
    x = 31,456,214,881/118,182
  6. Step 6: Final answer
    x = 266,167.56

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Why These Related Problems?

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