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Finding the Third Proportional to 46,057 and 101,392

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Solution

The third proportional to 46,057 and 101,392 is: 223,209.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,057 : 101,392 = 101,392 : x
  2. Step 2: Convert to fraction form
    46,057/101,392 = 101,392/x
  3. Step 3: Cross multiply
    46,057x = 101,392 × 101,392
  4. Step 4: Simplify right side
    46,057x = 10,280,337,664
  5. Step 5: Solve for x
    x = 10,280,337,664/46,057
  6. Step 6: Final answer
    x = 223,209.02

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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.