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Finding the Third Proportional to 84,592 and 131,728

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Solution

The third proportional to 84,592 and 131,728 is: 205,128.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,592 : 131,728 = 131,728 : x
  2. Step 2: Convert to fraction form
    84,592/131,728 = 131,728/x
  3. Step 3: Cross multiply
    84,592x = 131,728 × 131,728
  4. Step 4: Simplify right side
    84,592x = 17,352,265,984
  5. Step 5: Solve for x
    x = 17,352,265,984/84,592
  6. Step 6: Final answer
    x = 205,128.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.