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Finding the Third Proportional to 117,442 and 176,731

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Solution

The third proportional to 117,442 and 176,731 is: 265,951.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,442 : 176,731 = 176,731 : x
  2. Step 2: Convert to fraction form
    117,442/176,731 = 176,731/x
  3. Step 3: Cross multiply
    117,442x = 176,731 × 176,731
  4. Step 4: Simplify right side
    117,442x = 31,233,846,361
  5. Step 5: Solve for x
    x = 31,233,846,361/117,442
  6. Step 6: Final answer
    x = 265,951.25

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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.