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Finding the Third Proportional to 97,717 and 146,819

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Solution

The third proportional to 97,717 and 146,819 is: 220,594.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,717 : 146,819 = 146,819 : x
  2. Step 2: Convert to fraction form
    97,717/146,819 = 146,819/x
  3. Step 3: Cross multiply
    97,717x = 146,819 × 146,819
  4. Step 4: Simplify right side
    97,717x = 21,555,818,761
  5. Step 5: Solve for x
    x = 21,555,818,761/97,717
  6. Step 6: Final answer
    x = 220,594.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.