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Finding the Third Proportional to 117,517 and 176,536

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Solution

The third proportional to 117,517 and 176,536 is: 265,195.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,517 : 176,536 = 176,536 : x
  2. Step 2: Convert to fraction form
    117,517/176,536 = 176,536/x
  3. Step 3: Cross multiply
    117,517x = 176,536 × 176,536
  4. Step 4: Simplify right side
    117,517x = 31,164,959,296
  5. Step 5: Solve for x
    x = 31,164,959,296/117,517
  6. Step 6: Final answer
    x = 265,195.33

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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.