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Finding the Third Proportional to 47,347 and 101,862

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Solution

The third proportional to 47,347 and 101,862 is: 219,145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,347 : 101,862 = 101,862 : x
  2. Step 2: Convert to fraction form
    47,347/101,862 = 101,862/x
  3. Step 3: Cross multiply
    47,347x = 101,862 × 101,862
  4. Step 4: Simplify right side
    47,347x = 10,375,867,044
  5. Step 5: Solve for x
    x = 10,375,867,044/47,347
  6. Step 6: Final answer
    x = 219,145.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.