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Finding the Third Proportional to 59,098 and 84,165

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Solution

The third proportional to 59,098 and 84,165 is: 119,864.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,098 : 84,165 = 84,165 : x
  2. Step 2: Convert to fraction form
    59,098/84,165 = 84,165/x
  3. Step 3: Cross multiply
    59,098x = 84,165 × 84,165
  4. Step 4: Simplify right side
    59,098x = 7,083,747,225
  5. Step 5: Solve for x
    x = 7,083,747,225/59,098
  6. Step 6: Final answer
    x = 119,864.42

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.