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Finding the Third Proportional to 117,596.81 and 158,010.75

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Solution

The third proportional to 117,596.81 and 158,010.75 is: 212,313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,596.81 : 158,010.75 = 158,010.75 : x
  2. Step 2: Convert to fraction form
    117,596.81/158,010.75 = 158,010.75/x
  3. Step 3: Cross multiply
    117,596.81x = 158,010.75 × 158,010.75
  4. Step 4: Simplify right side
    117,596.81x = 24,967,397,115.56
  5. Step 5: Solve for x
    x = 24,967,397,115.56/117,596.81
  6. Step 6: Final answer
    x = 212,313.55

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.