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Finding the Third Proportional to 46,524 and 101,742

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Solution

The third proportional to 46,524 and 101,742 is: 222,496.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,524 : 101,742 = 101,742 : x
  2. Step 2: Convert to fraction form
    46,524/101,742 = 101,742/x
  3. Step 3: Cross multiply
    46,524x = 101,742 × 101,742
  4. Step 4: Simplify right side
    46,524x = 10,351,434,564
  5. Step 5: Solve for x
    x = 10,351,434,564/46,524
  6. Step 6: Final answer
    x = 222,496.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.