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Finding the Third Proportional to 48,459 and 102,788

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Solution

The third proportional to 48,459 and 102,788 is: 218,027.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,459 : 102,788 = 102,788 : x
  2. Step 2: Convert to fraction form
    48,459/102,788 = 102,788/x
  3. Step 3: Cross multiply
    48,459x = 102,788 × 102,788
  4. Step 4: Simplify right side
    48,459x = 10,565,372,944
  5. Step 5: Solve for x
    x = 10,565,372,944/48,459
  6. Step 6: Final answer
    x = 218,027.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.