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Finding the Third Proportional to 152,716.50 and 166,560.75

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Solution

The third proportional to 152,716.50 and 166,560.75 is: 181,660.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,716.50 : 166,560.75 = 166,560.75 : x
  2. Step 2: Convert to fraction form
    152,716.50/166,560.75 = 166,560.75/x
  3. Step 3: Cross multiply
    152,716.50x = 166,560.75 × 166,560.75
  4. Step 4: Simplify right side
    152,716.50x = 27,742,483,440.56
  5. Step 5: Solve for x
    x = 27,742,483,440.56/152,716.50
  6. Step 6: Final answer
    x = 181,660.03

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.