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Finding the Third Proportional to 66,756 and 103,962

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Solution

The third proportional to 66,756 and 103,962 is: 161,904.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,756 : 103,962 = 103,962 : x
  2. Step 2: Convert to fraction form
    66,756/103,962 = 103,962/x
  3. Step 3: Cross multiply
    66,756x = 103,962 × 103,962
  4. Step 4: Simplify right side
    66,756x = 10,808,097,444
  5. Step 5: Solve for x
    x = 10,808,097,444/66,756
  6. Step 6: Final answer
    x = 161,904.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.