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Finding the Third Proportional to 54,441 and 85,550

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Solution

The third proportional to 54,441 and 85,550 is: 134,435.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,441 : 85,550 = 85,550 : x
  2. Step 2: Convert to fraction form
    54,441/85,550 = 85,550/x
  3. Step 3: Cross multiply
    54,441x = 85,550 × 85,550
  4. Step 4: Simplify right side
    54,441x = 7,318,802,500
  5. Step 5: Solve for x
    x = 7,318,802,500/54,441
  6. Step 6: Final answer
    x = 134,435.49

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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.