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Finding the Third Proportional to 117,511 and 176,530

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Solution

The third proportional to 117,511 and 176,530 is: 265,190.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,511 : 176,530 = 176,530 : x
  2. Step 2: Convert to fraction form
    117,511/176,530 = 176,530/x
  3. Step 3: Cross multiply
    117,511x = 176,530 × 176,530
  4. Step 4: Simplify right side
    117,511x = 31,162,840,900
  5. Step 5: Solve for x
    x = 31,162,840,900/117,511
  6. Step 6: Final answer
    x = 265,190.84

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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.