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Finding the Third Proportional to 52,516 and 109,460

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Solution

The third proportional to 52,516 and 109,460 is: 228,149.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,516 : 109,460 = 109,460 : x
  2. Step 2: Convert to fraction form
    52,516/109,460 = 109,460/x
  3. Step 3: Cross multiply
    52,516x = 109,460 × 109,460
  4. Step 4: Simplify right side
    52,516x = 11,981,491,600
  5. Step 5: Solve for x
    x = 11,981,491,600/52,516
  6. Step 6: Final answer
    x = 228,149.36

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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.