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Finding the Third Proportional to 54,246 and 120,102

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Solution

The third proportional to 54,246 and 120,102 is: 265,908.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,246 : 120,102 = 120,102 : x
  2. Step 2: Convert to fraction form
    54,246/120,102 = 120,102/x
  3. Step 3: Cross multiply
    54,246x = 120,102 × 120,102
  4. Step 4: Simplify right side
    54,246x = 14,424,490,404
  5. Step 5: Solve for x
    x = 14,424,490,404/54,246
  6. Step 6: Final answer
    x = 265,908.83

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.