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Finding the Third Proportional to 24,119 and 52,138

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Solution

The third proportional to 24,119 and 52,138 is: 112,706.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,119 : 52,138 = 52,138 : x
  2. Step 2: Convert to fraction form
    24,119/52,138 = 52,138/x
  3. Step 3: Cross multiply
    24,119x = 52,138 × 52,138
  4. Step 4: Simplify right side
    24,119x = 2,718,371,044
  5. Step 5: Solve for x
    x = 2,718,371,044/24,119
  6. Step 6: Final answer
    x = 112,706.62

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Why These Related Problems?

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