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Finding the Third Proportional to 48,579 and 104,610

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Solution

The third proportional to 48,579 and 104,610 is: 225,267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,579 : 104,610 = 104,610 : x
  2. Step 2: Convert to fraction form
    48,579/104,610 = 104,610/x
  3. Step 3: Cross multiply
    48,579x = 104,610 × 104,610
  4. Step 4: Simplify right side
    48,579x = 10,943,252,100
  5. Step 5: Solve for x
    x = 10,943,252,100/48,579
  6. Step 6: Final answer
    x = 225,267.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.