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Finding the Third Proportional to 118,422 and 177,273

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Solution

The third proportional to 118,422 and 177,273 is: 265,370.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,422 : 177,273 = 177,273 : x
  2. Step 2: Convert to fraction form
    118,422/177,273 = 177,273/x
  3. Step 3: Cross multiply
    118,422x = 177,273 × 177,273
  4. Step 4: Simplify right side
    118,422x = 31,425,716,529
  5. Step 5: Solve for x
    x = 31,425,716,529/118,422
  6. Step 6: Final answer
    x = 265,370.59

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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.