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Finding the Third Proportional to 83,327 and 119,073

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Solution

The third proportional to 83,327 and 119,073 is: 170,153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,327 : 119,073 = 119,073 : x
  2. Step 2: Convert to fraction form
    83,327/119,073 = 119,073/x
  3. Step 3: Cross multiply
    83,327x = 119,073 × 119,073
  4. Step 4: Simplify right side
    83,327x = 14,178,379,329
  5. Step 5: Solve for x
    x = 14,178,379,329/83,327
  6. Step 6: Final answer
    x = 170,153.48

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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.