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Finding the Third Proportional to 58,968 and 131,112

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Solution

The third proportional to 58,968 and 131,112 is: 291,520.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,968 : 131,112 = 131,112 : x
  2. Step 2: Convert to fraction form
    58,968/131,112 = 131,112/x
  3. Step 3: Cross multiply
    58,968x = 131,112 × 131,112
  4. Step 4: Simplify right side
    58,968x = 17,190,356,544
  5. Step 5: Solve for x
    x = 17,190,356,544/58,968
  6. Step 6: Final answer
    x = 291,520.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.