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Finding the Third Proportional to 86,569 and 132,884

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Solution

The third proportional to 86,569 and 132,884 is: 203,977.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,569 : 132,884 = 132,884 : x
  2. Step 2: Convert to fraction form
    86,569/132,884 = 132,884/x
  3. Step 3: Cross multiply
    86,569x = 132,884 × 132,884
  4. Step 4: Simplify right side
    86,569x = 17,658,157,456
  5. Step 5: Solve for x
    x = 17,658,157,456/86,569
  6. Step 6: Final answer
    x = 203,977.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.