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Finding the Third Proportional to 54,024 and 85,475

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Solution

The third proportional to 54,024 and 85,475 is: 135,235.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,024 : 85,475 = 85,475 : x
  2. Step 2: Convert to fraction form
    54,024/85,475 = 85,475/x
  3. Step 3: Cross multiply
    54,024x = 85,475 × 85,475
  4. Step 4: Simplify right side
    54,024x = 7,305,975,625
  5. Step 5: Solve for x
    x = 7,305,975,625/54,024
  6. Step 6: Final answer
    x = 135,235.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.