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Finding the Third Proportional to 117,700 and 179,270

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Solution

The third proportional to 117,700 and 179,270 is: 273,047.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,700 : 179,270 = 179,270 : x
  2. Step 2: Convert to fraction form
    117,700/179,270 = 179,270/x
  3. Step 3: Cross multiply
    117,700x = 179,270 × 179,270
  4. Step 4: Simplify right side
    117,700x = 32,137,732,900
  5. Step 5: Solve for x
    x = 32,137,732,900/117,700
  6. Step 6: Final answer
    x = 273,047.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.