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Finding the Third Proportional to 120,474 and 181,602

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Solution

The third proportional to 120,474 and 181,602 is: 273,746.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,474 : 181,602 = 181,602 : x
  2. Step 2: Convert to fraction form
    120,474/181,602 = 181,602/x
  3. Step 3: Cross multiply
    120,474x = 181,602 × 181,602
  4. Step 4: Simplify right side
    120,474x = 32,979,286,404
  5. Step 5: Solve for x
    x = 32,979,286,404/120,474
  6. Step 6: Final answer
    x = 273,746.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.