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Finding the Third Proportional to 47,664 and 94,130

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Solution

The third proportional to 47,664 and 94,130 is: 185,894.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,664 : 94,130 = 94,130 : x
  2. Step 2: Convert to fraction form
    47,664/94,130 = 94,130/x
  3. Step 3: Cross multiply
    47,664x = 94,130 × 94,130
  4. Step 4: Simplify right side
    47,664x = 8,860,456,900
  5. Step 5: Solve for x
    x = 8,860,456,900/47,664
  6. Step 6: Final answer
    x = 185,894.11

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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.