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Finding the Third Proportional to 97,324 and 166,165

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Solution

The third proportional to 97,324 and 166,165 is: 283,699.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,324 : 166,165 = 166,165 : x
  2. Step 2: Convert to fraction form
    97,324/166,165 = 166,165/x
  3. Step 3: Cross multiply
    97,324x = 166,165 × 166,165
  4. Step 4: Simplify right side
    97,324x = 27,610,807,225
  5. Step 5: Solve for x
    x = 27,610,807,225/97,324
  6. Step 6: Final answer
    x = 283,699.88

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.