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Finding the Third Proportional to 117,566 and 176,075

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Solution

The third proportional to 117,566 and 176,075 is: 263,702.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,566 : 176,075 = 176,075 : x
  2. Step 2: Convert to fraction form
    117,566/176,075 = 176,075/x
  3. Step 3: Cross multiply
    117,566x = 176,075 × 176,075
  4. Step 4: Simplify right side
    117,566x = 31,002,405,625
  5. Step 5: Solve for x
    x = 31,002,405,625/117,566
  6. Step 6: Final answer
    x = 263,702.14

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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.