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Finding the Third Proportional to 120,345 and 180,261

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Solution

The third proportional to 120,345 and 180,261 is: 270,007.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,345 : 180,261 = 180,261 : x
  2. Step 2: Convert to fraction form
    120,345/180,261 = 180,261/x
  3. Step 3: Cross multiply
    120,345x = 180,261 × 180,261
  4. Step 4: Simplify right side
    120,345x = 32,494,028,121
  5. Step 5: Solve for x
    x = 32,494,028,121/120,345
  6. Step 6: Final answer
    x = 270,007.30

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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.