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Finding the Third Proportional to 117,561.75 and 176,069.25

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Solution

The third proportional to 117,561.75 and 176,069.25 is: 263,694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,561.75 : 176,069.25 = 176,069.25 : x
  2. Step 2: Convert to fraction form
    117,561.75/176,069.25 = 176,069.25/x
  3. Step 3: Cross multiply
    117,561.75x = 176,069.25 × 176,069.25
  4. Step 4: Simplify right side
    117,561.75x = 31,000,380,795.56
  5. Step 5: Solve for x
    x = 31,000,380,795.56/117,561.75
  6. Step 6: Final answer
    x = 263,694.45

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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.