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Finding the Third Proportional to 66,322.13 and 102,768.75

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Solution

The third proportional to 66,322.13 and 102,768.75 is: 159,244.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,322.13 : 102,768.75 = 102,768.75 : x
  2. Step 2: Convert to fraction form
    66,322.13/102,768.75 = 102,768.75/x
  3. Step 3: Cross multiply
    66,322.13x = 102,768.75 × 102,768.75
  4. Step 4: Simplify right side
    66,322.13x = 10,561,415,976.56
  5. Step 5: Solve for x
    x = 10,561,415,976.56/66,322.13
  6. Step 6: Final answer
    x = 159,244.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.