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Finding the Third Proportional to 54,822 and 119,037

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Solution

The third proportional to 54,822 and 119,037 is: 258,469.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,822 : 119,037 = 119,037 : x
  2. Step 2: Convert to fraction form
    54,822/119,037 = 119,037/x
  3. Step 3: Cross multiply
    54,822x = 119,037 × 119,037
  4. Step 4: Simplify right side
    54,822x = 14,169,807,369
  5. Step 5: Solve for x
    x = 14,169,807,369/54,822
  6. Step 6: Final answer
    x = 258,469.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.