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Finding the Third Proportional to 62,670 and 97,086

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Solution

The third proportional to 62,670 and 97,086 is: 150,401.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,670 : 97,086 = 97,086 : x
  2. Step 2: Convert to fraction form
    62,670/97,086 = 97,086/x
  3. Step 3: Cross multiply
    62,670x = 97,086 × 97,086
  4. Step 4: Simplify right side
    62,670x = 9,425,691,396
  5. Step 5: Solve for x
    x = 9,425,691,396/62,670
  6. Step 6: Final answer
    x = 150,401.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.