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Finding the Third Proportional to 120,923.63 and 281,076.75

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Solution

The third proportional to 120,923.63 and 281,076.75 is: 653,339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,923.63 : 281,076.75 = 281,076.75 : x
  2. Step 2: Convert to fraction form
    120,923.63/281,076.75 = 281,076.75/x
  3. Step 3: Cross multiply
    120,923.63x = 281,076.75 × 281,076.75
  4. Step 4: Simplify right side
    120,923.63x = 79,004,139,390.56
  5. Step 5: Solve for x
    x = 79,004,139,390.56/120,923.63
  6. Step 6: Final answer
    x = 653,339.16

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.