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Finding the Third Proportional to 51,132 and 109,854

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Solution

The third proportional to 51,132 and 109,854 is: 236,014.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,132 : 109,854 = 109,854 : x
  2. Step 2: Convert to fraction form
    51,132/109,854 = 109,854/x
  3. Step 3: Cross multiply
    51,132x = 109,854 × 109,854
  4. Step 4: Simplify right side
    51,132x = 12,067,901,316
  5. Step 5: Solve for x
    x = 12,067,901,316/51,132
  6. Step 6: Final answer
    x = 236,014.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.