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Finding the Third Proportional to 48,566 and 104,788

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Solution

The third proportional to 48,566 and 104,788 is: 226,094.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,566 : 104,788 = 104,788 : x
  2. Step 2: Convert to fraction form
    48,566/104,788 = 104,788/x
  3. Step 3: Cross multiply
    48,566x = 104,788 × 104,788
  4. Step 4: Simplify right side
    48,566x = 10,980,524,944
  5. Step 5: Solve for x
    x = 10,980,524,944/48,566
  6. Step 6: Final answer
    x = 226,094.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.