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Finding the Third Proportional to 51,462 and 78,192

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Solution

The third proportional to 51,462 and 78,192 is: 118,805.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,462 : 78,192 = 78,192 : x
  2. Step 2: Convert to fraction form
    51,462/78,192 = 78,192/x
  3. Step 3: Cross multiply
    51,462x = 78,192 × 78,192
  4. Step 4: Simplify right side
    51,462x = 6,113,988,864
  5. Step 5: Solve for x
    x = 6,113,988,864/51,462
  6. Step 6: Final answer
    x = 118,805.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.