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Finding the Third Proportional to 66,735 and 145,086

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Solution

The third proportional to 66,735 and 145,086 is: 315,425.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,735 : 145,086 = 145,086 : x
  2. Step 2: Convert to fraction form
    66,735/145,086 = 145,086/x
  3. Step 3: Cross multiply
    66,735x = 145,086 × 145,086
  4. Step 4: Simplify right side
    66,735x = 21,049,947,396
  5. Step 5: Solve for x
    x = 21,049,947,396/66,735
  6. Step 6: Final answer
    x = 315,425.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.