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Finding the Third Proportional to 51,672 and 109,544

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Solution

The third proportional to 51,672 and 109,544 is: 232,231.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,672 : 109,544 = 109,544 : x
  2. Step 2: Convert to fraction form
    51,672/109,544 = 109,544/x
  3. Step 3: Cross multiply
    51,672x = 109,544 × 109,544
  4. Step 4: Simplify right side
    51,672x = 11,999,887,936
  5. Step 5: Solve for x
    x = 11,999,887,936/51,672
  6. Step 6: Final answer
    x = 232,231.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.