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Finding the Third Proportional to 54,905 and 119,850

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Solution

The third proportional to 54,905 and 119,850 is: 261,615.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,905 : 119,850 = 119,850 : x
  2. Step 2: Convert to fraction form
    54,905/119,850 = 119,850/x
  3. Step 3: Cross multiply
    54,905x = 119,850 × 119,850
  4. Step 4: Simplify right side
    54,905x = 14,364,022,500
  5. Step 5: Solve for x
    x = 14,364,022,500/54,905
  6. Step 6: Final answer
    x = 261,615.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.