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Finding the Third Proportional to 58,512 and 85,112

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Solution

The third proportional to 58,512 and 85,112 is: 123,804.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,512 : 85,112 = 85,112 : x
  2. Step 2: Convert to fraction form
    58,512/85,112 = 85,112/x
  3. Step 3: Cross multiply
    58,512x = 85,112 × 85,112
  4. Step 4: Simplify right side
    58,512x = 7,244,052,544
  5. Step 5: Solve for x
    x = 7,244,052,544/58,512
  6. Step 6: Final answer
    x = 123,804.56

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.