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Finding the Third Proportional to 47,781 and 94,347

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Solution

The third proportional to 47,781 and 94,347 is: 186,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,781 : 94,347 = 94,347 : x
  2. Step 2: Convert to fraction form
    47,781/94,347 = 94,347/x
  3. Step 3: Cross multiply
    47,781x = 94,347 × 94,347
  4. Step 4: Simplify right side
    47,781x = 8,901,356,409
  5. Step 5: Solve for x
    x = 8,901,356,409/47,781
  6. Step 6: Final answer
    x = 186,294.90

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.