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Finding the Third Proportional to 117,601 and 177,482

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Solution

The third proportional to 117,601 and 177,482 is: 267,853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,601 : 177,482 = 177,482 : x
  2. Step 2: Convert to fraction form
    117,601/177,482 = 177,482/x
  3. Step 3: Cross multiply
    117,601x = 177,482 × 177,482
  4. Step 4: Simplify right side
    117,601x = 31,499,860,324
  5. Step 5: Solve for x
    x = 31,499,860,324/117,601
  6. Step 6: Final answer
    x = 267,853.68

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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.