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Finding the Third Proportional to 85,250 and 133,732

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Solution

The third proportional to 85,250 and 133,732 is: 209,785.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,250 : 133,732 = 133,732 : x
  2. Step 2: Convert to fraction form
    85,250/133,732 = 133,732/x
  3. Step 3: Cross multiply
    85,250x = 133,732 × 133,732
  4. Step 4: Simplify right side
    85,250x = 17,884,247,824
  5. Step 5: Solve for x
    x = 17,884,247,824/85,250
  6. Step 6: Final answer
    x = 209,785.90

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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.