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Finding the Third Proportional to 52,399 and 113,136

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Solution

The third proportional to 52,399 and 113,136 is: 244,274.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,399 : 113,136 = 113,136 : x
  2. Step 2: Convert to fraction form
    52,399/113,136 = 113,136/x
  3. Step 3: Cross multiply
    52,399x = 113,136 × 113,136
  4. Step 4: Simplify right side
    52,399x = 12,799,754,496
  5. Step 5: Solve for x
    x = 12,799,754,496/52,399
  6. Step 6: Final answer
    x = 244,274.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.