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Finding the Third Proportional to 46,285 and 101,672

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Solution

The third proportional to 46,285 and 101,672 is: 223,337.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,285 : 101,672 = 101,672 : x
  2. Step 2: Convert to fraction form
    46,285/101,672 = 101,672/x
  3. Step 3: Cross multiply
    46,285x = 101,672 × 101,672
  4. Step 4: Simplify right side
    46,285x = 10,337,195,584
  5. Step 5: Solve for x
    x = 10,337,195,584/46,285
  6. Step 6: Final answer
    x = 223,337.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.