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Finding the Third Proportional to 47,594 and 100,552

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Solution

The third proportional to 47,594 and 100,552 is: 212,436.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,594 : 100,552 = 100,552 : x
  2. Step 2: Convert to fraction form
    47,594/100,552 = 100,552/x
  3. Step 3: Cross multiply
    47,594x = 100,552 × 100,552
  4. Step 4: Simplify right side
    47,594x = 10,110,704,704
  5. Step 5: Solve for x
    x = 10,110,704,704/47,594
  6. Step 6: Final answer
    x = 212,436.54

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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.