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Finding the Third Proportional to 83,234 and 183,613

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Solution

The third proportional to 83,234 and 183,613 is: 405,047.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,234 : 183,613 = 183,613 : x
  2. Step 2: Convert to fraction form
    83,234/183,613 = 183,613/x
  3. Step 3: Cross multiply
    83,234x = 183,613 × 183,613
  4. Step 4: Simplify right side
    83,234x = 33,713,733,769
  5. Step 5: Solve for x
    x = 33,713,733,769/83,234
  6. Step 6: Final answer
    x = 405,047.62

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.