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Finding the Third Proportional to 46,742 and 101,412

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Solution

The third proportional to 46,742 and 101,412 is: 220,024.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,742 : 101,412 = 101,412 : x
  2. Step 2: Convert to fraction form
    46,742/101,412 = 101,412/x
  3. Step 3: Cross multiply
    46,742x = 101,412 × 101,412
  4. Step 4: Simplify right side
    46,742x = 10,284,393,744
  5. Step 5: Solve for x
    x = 10,284,393,744/46,742
  6. Step 6: Final answer
    x = 220,024.68

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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.