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Finding the Third Proportional to 132,417 and 199,863

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Solution

The third proportional to 132,417 and 199,863 is: 301,662.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,417 : 199,863 = 199,863 : x
  2. Step 2: Convert to fraction form
    132,417/199,863 = 199,863/x
  3. Step 3: Cross multiply
    132,417x = 199,863 × 199,863
  4. Step 4: Simplify right side
    132,417x = 39,945,218,769
  5. Step 5: Solve for x
    x = 39,945,218,769/132,417
  6. Step 6: Final answer
    x = 301,662.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.