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Finding the Third Proportional to 47,214 and 72,460

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Solution

The third proportional to 47,214 and 72,460 is: 111,205.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,214 : 72,460 = 72,460 : x
  2. Step 2: Convert to fraction form
    47,214/72,460 = 72,460/x
  3. Step 3: Cross multiply
    47,214x = 72,460 × 72,460
  4. Step 4: Simplify right side
    47,214x = 5,250,451,600
  5. Step 5: Solve for x
    x = 5,250,451,600/47,214
  6. Step 6: Final answer
    x = 111,205.40

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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.