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Finding the Third Proportional to 76,043 and 166,387

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Solution

The third proportional to 76,043 and 166,387 is: 364,065.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,043 : 166,387 = 166,387 : x
  2. Step 2: Convert to fraction form
    76,043/166,387 = 166,387/x
  3. Step 3: Cross multiply
    76,043x = 166,387 × 166,387
  4. Step 4: Simplify right side
    76,043x = 27,684,633,769
  5. Step 5: Solve for x
    x = 27,684,633,769/76,043
  6. Step 6: Final answer
    x = 364,065.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.