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Finding the Third Proportional to 47,516 and 100,396

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Solution

The third proportional to 47,516 and 100,396 is: 212,125.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,516 : 100,396 = 100,396 : x
  2. Step 2: Convert to fraction form
    47,516/100,396 = 100,396/x
  3. Step 3: Cross multiply
    47,516x = 100,396 × 100,396
  4. Step 4: Simplify right side
    47,516x = 10,079,356,816
  5. Step 5: Solve for x
    x = 10,079,356,816/47,516
  6. Step 6: Final answer
    x = 212,125.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.