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Finding the Third Proportional to 56,770 and 81,627

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Solution

The third proportional to 56,770 and 81,627 is: 117,367.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,770 : 81,627 = 81,627 : x
  2. Step 2: Convert to fraction form
    56,770/81,627 = 81,627/x
  3. Step 3: Cross multiply
    56,770x = 81,627 × 81,627
  4. Step 4: Simplify right side
    56,770x = 6,662,967,129
  5. Step 5: Solve for x
    x = 6,662,967,129/56,770
  6. Step 6: Final answer
    x = 117,367.75

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.