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Finding the Third Proportional to 53,638 and 85,062

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Solution

The third proportional to 53,638 and 85,062 is: 134,895.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,638 : 85,062 = 85,062 : x
  2. Step 2: Convert to fraction form
    53,638/85,062 = 85,062/x
  3. Step 3: Cross multiply
    53,638x = 85,062 × 85,062
  4. Step 4: Simplify right side
    53,638x = 7,235,543,844
  5. Step 5: Solve for x
    x = 7,235,543,844/53,638
  6. Step 6: Final answer
    x = 134,895.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.