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Finding the Third Proportional to 47,284 and 96,727

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Solution

The third proportional to 47,284 and 96,727 is: 197,870.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,284 : 96,727 = 96,727 : x
  2. Step 2: Convert to fraction form
    47,284/96,727 = 96,727/x
  3. Step 3: Cross multiply
    47,284x = 96,727 × 96,727
  4. Step 4: Simplify right side
    47,284x = 9,356,112,529
  5. Step 5: Solve for x
    x = 9,356,112,529/47,284
  6. Step 6: Final answer
    x = 197,870.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.