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Finding the Third Proportional to 83,339 and 119,089

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Solution

The third proportional to 83,339 and 119,089 is: 170,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,339 : 119,089 = 119,089 : x
  2. Step 2: Convert to fraction form
    83,339/119,089 = 119,089/x
  3. Step 3: Cross multiply
    83,339x = 119,089 × 119,089
  4. Step 4: Simplify right side
    83,339x = 14,182,189,921
  5. Step 5: Solve for x
    x = 14,182,189,921/83,339
  6. Step 6: Final answer
    x = 170,174.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.