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Finding the Third Proportional to 66,371.75 and 105,149.00

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Solution

The third proportional to 66,371.75 and 105,149.00 is: 166,581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,371.75 : 105,149.00 = 105,149.00 : x
  2. Step 2: Convert to fraction form
    66,371.75/105,149.00 = 105,149.00/x
  3. Step 3: Cross multiply
    66,371.75x = 105,149.00 × 105,149.00
  4. Step 4: Simplify right side
    66,371.75x = 11,056,311,174.15
  5. Step 5: Solve for x
    x = 11,056,311,174.15/66,371.75
  6. Step 6: Final answer
    x = 166,581.59

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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.