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Finding the Third Proportional to 54,902 and 119,842

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Solution

The third proportional to 54,902 and 119,842 is: 261,595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,902 : 119,842 = 119,842 : x
  2. Step 2: Convert to fraction form
    54,902/119,842 = 119,842/x
  3. Step 3: Cross multiply
    54,902x = 119,842 × 119,842
  4. Step 4: Simplify right side
    54,902x = 14,362,104,964
  5. Step 5: Solve for x
    x = 14,362,104,964/54,902
  6. Step 6: Final answer
    x = 261,595.30

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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.