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Finding the Third Proportional to 54,671 and 89,273

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Solution

The third proportional to 54,671 and 89,273 is: 145,775.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,671 : 89,273 = 89,273 : x
  2. Step 2: Convert to fraction form
    54,671/89,273 = 89,273/x
  3. Step 3: Cross multiply
    54,671x = 89,273 × 89,273
  4. Step 4: Simplify right side
    54,671x = 7,969,668,529
  5. Step 5: Solve for x
    x = 7,969,668,529/54,671
  6. Step 6: Final answer
    x = 145,775.06

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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.