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Finding the Third Proportional to 47,662 and 94,128

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Solution

The third proportional to 47,662 and 94,128 is: 185,894.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,662 : 94,128 = 94,128 : x
  2. Step 2: Convert to fraction form
    47,662/94,128 = 94,128/x
  3. Step 3: Cross multiply
    47,662x = 94,128 × 94,128
  4. Step 4: Simplify right side
    47,662x = 8,860,080,384
  5. Step 5: Solve for x
    x = 8,860,080,384/47,662
  6. Step 6: Final answer
    x = 185,894.01

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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.