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Finding the Third Proportional to 69,908.06 and 116,533.69

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Solution

The third proportional to 69,908.06 and 116,533.69 is: 194,256.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,908.06 : 116,533.69 = 116,533.69 : x
  2. Step 2: Convert to fraction form
    69,908.06/116,533.69 = 116,533.69/x
  3. Step 3: Cross multiply
    69,908.06x = 116,533.69 × 116,533.69
  4. Step 4: Simplify right side
    69,908.06x = 13,580,100,322.35
  5. Step 5: Solve for x
    x = 13,580,100,322.35/69,908.06
  6. Step 6: Final answer
    x = 194,256.57

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.