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Finding the Third Proportional to 52,328 and 109,084

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Solution

The third proportional to 52,328 and 109,084 is: 227,398.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,328 : 109,084 = 109,084 : x
  2. Step 2: Convert to fraction form
    52,328/109,084 = 109,084/x
  3. Step 3: Cross multiply
    52,328x = 109,084 × 109,084
  4. Step 4: Simplify right side
    52,328x = 11,899,319,056
  5. Step 5: Solve for x
    x = 11,899,319,056/52,328
  6. Step 6: Final answer
    x = 227,398.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.