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Finding the Third Proportional to 54,676 and 89,283

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Solution

The third proportional to 54,676 and 89,283 is: 145,794.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,676 : 89,283 = 89,283 : x
  2. Step 2: Convert to fraction form
    54,676/89,283 = 89,283/x
  3. Step 3: Cross multiply
    54,676x = 89,283 × 89,283
  4. Step 4: Simplify right side
    54,676x = 7,971,454,089
  5. Step 5: Solve for x
    x = 7,971,454,089/54,676
  6. Step 6: Final answer
    x = 145,794.39

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.