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Finding the Third Proportional to 54,583 and 82,077

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Solution

The third proportional to 54,583 and 82,077 is: 123,420.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,583 : 82,077 = 82,077 : x
  2. Step 2: Convert to fraction form
    54,583/82,077 = 82,077/x
  3. Step 3: Cross multiply
    54,583x = 82,077 × 82,077
  4. Step 4: Simplify right side
    54,583x = 6,736,633,929
  5. Step 5: Solve for x
    x = 6,736,633,929/54,583
  6. Step 6: Final answer
    x = 123,420.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.