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Finding the Third Proportional to 117,549 and 177,416

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Solution

The third proportional to 117,549 and 177,416 is: 267,772.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,549 : 177,416 = 177,416 : x
  2. Step 2: Convert to fraction form
    117,549/177,416 = 177,416/x
  3. Step 3: Cross multiply
    117,549x = 177,416 × 177,416
  4. Step 4: Simplify right side
    117,549x = 31,476,437,056
  5. Step 5: Solve for x
    x = 31,476,437,056/117,549
  6. Step 6: Final answer
    x = 267,772.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.