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Finding the Third Proportional to 54,624 and 82,437

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Solution

The third proportional to 54,624 and 82,437 is: 124,411.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,624 : 82,437 = 82,437 : x
  2. Step 2: Convert to fraction form
    54,624/82,437 = 82,437/x
  3. Step 3: Cross multiply
    54,624x = 82,437 × 82,437
  4. Step 4: Simplify right side
    54,624x = 6,795,858,969
  5. Step 5: Solve for x
    x = 6,795,858,969/54,624
  6. Step 6: Final answer
    x = 124,411.60

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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.