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Finding the Third Proportional to 54,462 and 85,584

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Solution

The third proportional to 54,462 and 85,584 is: 134,490.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,462 : 85,584 = 85,584 : x
  2. Step 2: Convert to fraction form
    54,462/85,584 = 85,584/x
  3. Step 3: Cross multiply
    54,462x = 85,584 × 85,584
  4. Step 4: Simplify right side
    54,462x = 7,324,621,056
  5. Step 5: Solve for x
    x = 7,324,621,056/54,462
  6. Step 6: Final answer
    x = 134,490.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.