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Finding the Third Proportional to 100,822.75 and 154,758.75

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Solution

The third proportional to 100,822.75 and 154,758.75 is: 237,548.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,822.75 : 154,758.75 = 154,758.75 : x
  2. Step 2: Convert to fraction form
    100,822.75/154,758.75 = 154,758.75/x
  3. Step 3: Cross multiply
    100,822.75x = 154,758.75 × 154,758.75
  4. Step 4: Simplify right side
    100,822.75x = 23,950,270,701.56
  5. Step 5: Solve for x
    x = 23,950,270,701.56/100,822.75
  6. Step 6: Final answer
    x = 237,548.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.