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Finding the Third Proportional to 76,744.13 and 156,609

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Solution

The third proportional to 76,744.13 and 156,609 is: 319,586.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,744.13 : 156,609 = 156,609 : x
  2. Step 2: Convert to fraction form
    76,744.13/156,609 = 156,609/x
  3. Step 3: Cross multiply
    76,744.13x = 156,609 × 156,609
  4. Step 4: Simplify right side
    76,744.13x = 24,526,378,881
  5. Step 5: Solve for x
    x = 24,526,378,881/76,744.13
  6. Step 6: Final answer
    x = 319,586.40

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.