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Finding the Third Proportional to 47,357 and 96,346

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Solution

The third proportional to 47,357 and 96,346 is: 196,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,357 : 96,346 = 96,346 : x
  2. Step 2: Convert to fraction form
    47,357/96,346 = 96,346/x
  3. Step 3: Cross multiply
    47,357x = 96,346 × 96,346
  4. Step 4: Simplify right side
    47,357x = 9,282,551,716
  5. Step 5: Solve for x
    x = 9,282,551,716/47,357
  6. Step 6: Final answer
    x = 196,012.24

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.