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Finding the Third Proportional to 46,742 and 101,371

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Solution

The third proportional to 46,742 and 101,371 is: 219,846.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,742 : 101,371 = 101,371 : x
  2. Step 2: Convert to fraction form
    46,742/101,371 = 101,371/x
  3. Step 3: Cross multiply
    46,742x = 101,371 × 101,371
  4. Step 4: Simplify right side
    46,742x = 10,276,079,641
  5. Step 5: Solve for x
    x = 10,276,079,641/46,742
  6. Step 6: Final answer
    x = 219,846.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.