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Finding the Third Proportional to 47,416 and 73,176

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Solution

The third proportional to 47,416 and 73,176 is: 112,930.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,416 : 73,176 = 73,176 : x
  2. Step 2: Convert to fraction form
    47,416/73,176 = 73,176/x
  3. Step 3: Cross multiply
    47,416x = 73,176 × 73,176
  4. Step 4: Simplify right side
    47,416x = 5,354,726,976
  5. Step 5: Solve for x
    x = 5,354,726,976/47,416
  6. Step 6: Final answer
    x = 112,930.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.