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Finding the Third Proportional to 62,338 and 85,168

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Solution

The third proportional to 62,338 and 85,168 is: 116,359.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,338 : 85,168 = 85,168 : x
  2. Step 2: Convert to fraction form
    62,338/85,168 = 85,168/x
  3. Step 3: Cross multiply
    62,338x = 85,168 × 85,168
  4. Step 4: Simplify right side
    62,338x = 7,253,588,224
  5. Step 5: Solve for x
    x = 7,253,588,224/62,338
  6. Step 6: Final answer
    x = 116,359.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.