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Finding the Third Proportional to 100,609 and 141,001

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Solution

The third proportional to 100,609 and 141,001 is: 197,609.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,609 : 141,001 = 141,001 : x
  2. Step 2: Convert to fraction form
    100,609/141,001 = 141,001/x
  3. Step 3: Cross multiply
    100,609x = 141,001 × 141,001
  4. Step 4: Simplify right side
    100,609x = 19,881,282,001
  5. Step 5: Solve for x
    x = 19,881,282,001/100,609
  6. Step 6: Final answer
    x = 197,609.38

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.