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Finding the Third Proportional to 66,381.75 and 105,162.75

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Solution

The third proportional to 66,381.75 and 105,162.75 is: 166,600.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,381.75 : 105,162.75 = 105,162.75 : x
  2. Step 2: Convert to fraction form
    66,381.75/105,162.75 = 105,162.75/x
  3. Step 3: Cross multiply
    66,381.75x = 105,162.75 × 105,162.75
  4. Step 4: Simplify right side
    66,381.75x = 11,059,203,987.56
  5. Step 5: Solve for x
    x = 11,059,203,987.56/66,381.75
  6. Step 6: Final answer
    x = 166,600.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.