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Finding the Third Proportional to 76,768 and 166,650

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Solution

The third proportional to 76,768 and 166,650 is: 361,768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,768 : 166,650 = 166,650 : x
  2. Step 2: Convert to fraction form
    76,768/166,650 = 166,650/x
  3. Step 3: Cross multiply
    76,768x = 166,650 × 166,650
  4. Step 4: Simplify right side
    76,768x = 27,772,222,500
  5. Step 5: Solve for x
    x = 27,772,222,500/76,768
  6. Step 6: Final answer
    x = 361,768.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.