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Finding the Third Proportional to 103,338 and 132,772

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Solution

The third proportional to 103,338 and 132,772 is: 170,589.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,338 : 132,772 = 132,772 : x
  2. Step 2: Convert to fraction form
    103,338/132,772 = 132,772/x
  3. Step 3: Cross multiply
    103,338x = 132,772 × 132,772
  4. Step 4: Simplify right side
    103,338x = 17,628,403,984
  5. Step 5: Solve for x
    x = 17,628,403,984/103,338
  6. Step 6: Final answer
    x = 170,589.75

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.