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Finding the Third Proportional to 100,863 and 132,543

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Solution

The third proportional to 100,863 and 132,543 is: 174,173.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,863 : 132,543 = 132,543 : x
  2. Step 2: Convert to fraction form
    100,863/132,543 = 132,543/x
  3. Step 3: Cross multiply
    100,863x = 132,543 × 132,543
  4. Step 4: Simplify right side
    100,863x = 17,567,646,849
  5. Step 5: Solve for x
    x = 17,567,646,849/100,863
  6. Step 6: Final answer
    x = 174,173.35

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.