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Finding the Third Proportional to 47,403 and 101,368

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Solution

The third proportional to 47,403 and 101,368 is: 216,768.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,403 : 101,368 = 101,368 : x
  2. Step 2: Convert to fraction form
    47,403/101,368 = 101,368/x
  3. Step 3: Cross multiply
    47,403x = 101,368 × 101,368
  4. Step 4: Simplify right side
    47,403x = 10,275,471,424
  5. Step 5: Solve for x
    x = 10,275,471,424/47,403
  6. Step 6: Final answer
    x = 216,768.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.