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Finding the Third Proportional to 54,569 and 119,283

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Solution

The third proportional to 54,569 and 119,283 is: 260,742.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,569 : 119,283 = 119,283 : x
  2. Step 2: Convert to fraction form
    54,569/119,283 = 119,283/x
  3. Step 3: Cross multiply
    54,569x = 119,283 × 119,283
  4. Step 4: Simplify right side
    54,569x = 14,228,434,089
  5. Step 5: Solve for x
    x = 14,228,434,089/54,569
  6. Step 6: Final answer
    x = 260,742.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.