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Finding the Third Proportional to 47,776 and 104,644

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Solution

The third proportional to 47,776 and 104,644 is: 229,202.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,776 : 104,644 = 104,644 : x
  2. Step 2: Convert to fraction form
    47,776/104,644 = 104,644/x
  3. Step 3: Cross multiply
    47,776x = 104,644 × 104,644
  4. Step 4: Simplify right side
    47,776x = 10,950,366,736
  5. Step 5: Solve for x
    x = 10,950,366,736/47,776
  6. Step 6: Final answer
    x = 229,202.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.