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Finding the Third Proportional to 66,399.75 and 93,322.13

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Solution

The third proportional to 66,399.75 and 93,322.13 is: 131,160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,399.75 : 93,322.13 = 93,322.13 : x
  2. Step 2: Convert to fraction form
    66,399.75/93,322.13 = 93,322.13/x
  3. Step 3: Cross multiply
    66,399.75x = 93,322.13 × 93,322.13
  4. Step 4: Simplify right side
    66,399.75x = 8,709,019,014.52
  5. Step 5: Solve for x
    x = 8,709,019,014.52/66,399.75
  6. Step 6: Final answer
    x = 131,160.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.