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Finding the Third Proportional to 76,462 and 118,100

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Solution

The third proportional to 76,462 and 118,100 is: 182,412.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,462 : 118,100 = 118,100 : x
  2. Step 2: Convert to fraction form
    76,462/118,100 = 118,100/x
  3. Step 3: Cross multiply
    76,462x = 118,100 × 118,100
  4. Step 4: Simplify right side
    76,462x = 13,947,610,000
  5. Step 5: Solve for x
    x = 13,947,610,000/76,462
  6. Step 6: Final answer
    x = 182,412.31

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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.