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Finding the Third Proportional to 76,462 and 118,102

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Solution

The third proportional to 76,462 and 118,102 is: 182,418.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,462 : 118,102 = 118,102 : x
  2. Step 2: Convert to fraction form
    76,462/118,102 = 118,102/x
  3. Step 3: Cross multiply
    76,462x = 118,102 × 118,102
  4. Step 4: Simplify right side
    76,462x = 13,948,082,404
  5. Step 5: Solve for x
    x = 13,948,082,404/76,462
  6. Step 6: Final answer
    x = 182,418.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.