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Finding the Third Proportional to 113,676 and 239,136

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Solution

The third proportional to 113,676 and 239,136 is: 503,061.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,676 : 239,136 = 239,136 : x
  2. Step 2: Convert to fraction form
    113,676/239,136 = 239,136/x
  3. Step 3: Cross multiply
    113,676x = 239,136 × 239,136
  4. Step 4: Simplify right side
    113,676x = 57,186,026,496
  5. Step 5: Solve for x
    x = 57,186,026,496/113,676
  6. Step 6: Final answer
    x = 503,061.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.