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Finding the Third Proportional to 56,523 and 84,609

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Solution

The third proportional to 56,523 and 84,609 is: 126,650.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,523 : 84,609 = 84,609 : x
  2. Step 2: Convert to fraction form
    56,523/84,609 = 84,609/x
  3. Step 3: Cross multiply
    56,523x = 84,609 × 84,609
  4. Step 4: Simplify right side
    56,523x = 7,158,682,881
  5. Step 5: Solve for x
    x = 7,158,682,881/56,523
  6. Step 6: Final answer
    x = 126,650.79

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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.