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Finding the Third Proportional to 54,624 and 82,520

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Solution

The third proportional to 54,624 and 82,520 is: 124,662.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,624 : 82,520 = 82,520 : x
  2. Step 2: Convert to fraction form
    54,624/82,520 = 82,520/x
  3. Step 3: Cross multiply
    54,624x = 82,520 × 82,520
  4. Step 4: Simplify right side
    54,624x = 6,809,550,400
  5. Step 5: Solve for x
    x = 6,809,550,400/54,624
  6. Step 6: Final answer
    x = 124,662.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.