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Finding the Third Proportional to 47,742 and 94,278

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Solution

The third proportional to 47,742 and 94,278 is: 186,174.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,742 : 94,278 = 94,278 : x
  2. Step 2: Convert to fraction form
    47,742/94,278 = 94,278/x
  3. Step 3: Cross multiply
    47,742x = 94,278 × 94,278
  4. Step 4: Simplify right side
    47,742x = 8,888,341,284
  5. Step 5: Solve for x
    x = 8,888,341,284/47,742
  6. Step 6: Final answer
    x = 186,174.46

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.