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Finding the Third Proportional to 47,310 and 103,691

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Solution

The third proportional to 47,310 and 103,691 is: 227,263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,310 : 103,691 = 103,691 : x
  2. Step 2: Convert to fraction form
    47,310/103,691 = 103,691/x
  3. Step 3: Cross multiply
    47,310x = 103,691 × 103,691
  4. Step 4: Simplify right side
    47,310x = 10,751,823,481
  5. Step 5: Solve for x
    x = 10,751,823,481/47,310
  6. Step 6: Final answer
    x = 227,263.23

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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.