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Finding the Third Proportional to 47,470 and 101,074

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Solution

The third proportional to 47,470 and 101,074 is: 215,208.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,470 : 101,074 = 101,074 : x
  2. Step 2: Convert to fraction form
    47,470/101,074 = 101,074/x
  3. Step 3: Cross multiply
    47,470x = 101,074 × 101,074
  4. Step 4: Simplify right side
    47,470x = 10,215,953,476
  5. Step 5: Solve for x
    x = 10,215,953,476/47,470
  6. Step 6: Final answer
    x = 215,208.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.