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Finding the Third Proportional to 54,566 and 118,743

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Solution

The third proportional to 54,566 and 118,743 is: 258,400.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,566 : 118,743 = 118,743 : x
  2. Step 2: Convert to fraction form
    54,566/118,743 = 118,743/x
  3. Step 3: Cross multiply
    54,566x = 118,743 × 118,743
  4. Step 4: Simplify right side
    54,566x = 14,099,900,049
  5. Step 5: Solve for x
    x = 14,099,900,049/54,566
  6. Step 6: Final answer
    x = 258,400.84

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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.