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Finding the Third Proportional to 76,253 and 161,218

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Solution

The third proportional to 76,253 and 161,218 is: 340,855.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,253 : 161,218 = 161,218 : x
  2. Step 2: Convert to fraction form
    76,253/161,218 = 161,218/x
  3. Step 3: Cross multiply
    76,253x = 161,218 × 161,218
  4. Step 4: Simplify right side
    76,253x = 25,991,243,524
  5. Step 5: Solve for x
    x = 25,991,243,524/76,253
  6. Step 6: Final answer
    x = 340,855.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.