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Finding the Third Proportional to 47,216 and 72,463

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Solution

The third proportional to 47,216 and 72,463 is: 111,209.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,216 : 72,463 = 72,463 : x
  2. Step 2: Convert to fraction form
    47,216/72,463 = 72,463/x
  3. Step 3: Cross multiply
    47,216x = 72,463 × 72,463
  4. Step 4: Simplify right side
    47,216x = 5,250,886,369
  5. Step 5: Solve for x
    x = 5,250,886,369/47,216
  6. Step 6: Final answer
    x = 111,209.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.