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Finding the Third Proportional to 47,505 and 102,543

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Solution

The third proportional to 47,505 and 102,543 is: 221,346.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,505 : 102,543 = 102,543 : x
  2. Step 2: Convert to fraction form
    47,505/102,543 = 102,543/x
  3. Step 3: Cross multiply
    47,505x = 102,543 × 102,543
  4. Step 4: Simplify right side
    47,505x = 10,515,066,849
  5. Step 5: Solve for x
    x = 10,515,066,849/47,505
  6. Step 6: Final answer
    x = 221,346.53

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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.