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Finding the Third Proportional to 47,070 and 103,471

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Solution

The third proportional to 47,070 and 103,471 is: 227,453.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,070 : 103,471 = 103,471 : x
  2. Step 2: Convert to fraction form
    47,070/103,471 = 103,471/x
  3. Step 3: Cross multiply
    47,070x = 103,471 × 103,471
  4. Step 4: Simplify right side
    47,070x = 10,706,247,841
  5. Step 5: Solve for x
    x = 10,706,247,841/47,070
  6. Step 6: Final answer
    x = 227,453.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.