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Finding the Third Proportional to 56,627 and 84,696

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Solution

The third proportional to 56,627 and 84,696 is: 126,678.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,627 : 84,696 = 84,696 : x
  2. Step 2: Convert to fraction form
    56,627/84,696 = 84,696/x
  3. Step 3: Cross multiply
    56,627x = 84,696 × 84,696
  4. Step 4: Simplify right side
    56,627x = 7,173,412,416
  5. Step 5: Solve for x
    x = 7,173,412,416/56,627
  6. Step 6: Final answer
    x = 126,678.31

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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.