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Finding the Third Proportional to 54,814 and 119,560

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Solution

The third proportional to 54,814 and 119,560 is: 260,783.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,814 : 119,560 = 119,560 : x
  2. Step 2: Convert to fraction form
    54,814/119,560 = 119,560/x
  3. Step 3: Cross multiply
    54,814x = 119,560 × 119,560
  4. Step 4: Simplify right side
    54,814x = 14,294,593,600
  5. Step 5: Solve for x
    x = 14,294,593,600/54,814
  6. Step 6: Final answer
    x = 260,783.62

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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.