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Finding the Third Proportional to 51,588 and 77,190

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Solution

The third proportional to 51,588 and 77,190 is: 115,497.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,588 : 77,190 = 77,190 : x
  2. Step 2: Convert to fraction form
    51,588/77,190 = 77,190/x
  3. Step 3: Cross multiply
    51,588x = 77,190 × 77,190
  4. Step 4: Simplify right side
    51,588x = 5,958,296,100
  5. Step 5: Solve for x
    x = 5,958,296,100/51,588
  6. Step 6: Final answer
    x = 115,497.71

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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.