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Finding the Third Proportional to 47,022 and 101,460

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Solution

The third proportional to 47,022 and 101,460 is: 218,921.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,022 : 101,460 = 101,460 : x
  2. Step 2: Convert to fraction form
    47,022/101,460 = 101,460/x
  3. Step 3: Cross multiply
    47,022x = 101,460 × 101,460
  4. Step 4: Simplify right side
    47,022x = 10,294,131,600
  5. Step 5: Solve for x
    x = 10,294,131,600/47,022
  6. Step 6: Final answer
    x = 218,921.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.