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Finding the Third Proportional to 47,534 and 103,924

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Solution

The third proportional to 47,534 and 103,924 is: 227,209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,534 : 103,924 = 103,924 : x
  2. Step 2: Convert to fraction form
    47,534/103,924 = 103,924/x
  3. Step 3: Cross multiply
    47,534x = 103,924 × 103,924
  4. Step 4: Simplify right side
    47,534x = 10,800,197,776
  5. Step 5: Solve for x
    x = 10,800,197,776/47,534
  6. Step 6: Final answer
    x = 227,209.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.