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Finding the Third Proportional to 47,534 and 103,279

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Solution

The third proportional to 47,534 and 103,279 is: 224,398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,534 : 103,279 = 103,279 : x
  2. Step 2: Convert to fraction form
    47,534/103,279 = 103,279/x
  3. Step 3: Cross multiply
    47,534x = 103,279 × 103,279
  4. Step 4: Simplify right side
    47,534x = 10,666,551,841
  5. Step 5: Solve for x
    x = 10,666,551,841/47,534
  6. Step 6: Final answer
    x = 224,398.36

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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.