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Finding the Third Proportional to 117,559.13 and 176,064.75

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Solution

The third proportional to 117,559.13 and 176,064.75 is: 263,686.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,559.13 : 176,064.75 = 176,064.75 : x
  2. Step 2: Convert to fraction form
    117,559.13/176,064.75 = 176,064.75/x
  3. Step 3: Cross multiply
    117,559.13x = 176,064.75 × 176,064.75
  4. Step 4: Simplify right side
    117,559.13x = 30,998,796,192.56
  5. Step 5: Solve for x
    x = 30,998,796,192.56/117,559.13
  6. Step 6: Final answer
    x = 263,686.86

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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.