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Finding the Third Proportional to 47,132 and 102,558

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Solution

The third proportional to 47,132 and 102,558 is: 223,163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,132 : 102,558 = 102,558 : x
  2. Step 2: Convert to fraction form
    47,132/102,558 = 102,558/x
  3. Step 3: Cross multiply
    47,132x = 102,558 × 102,558
  4. Step 4: Simplify right side
    47,132x = 10,518,143,364
  5. Step 5: Solve for x
    x = 10,518,143,364/47,132
  6. Step 6: Final answer
    x = 223,163.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.