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Finding the Third Proportional to 65,745 and 106,814.25

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Solution

The third proportional to 65,745 and 106,814.25 is: 173,538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,745 : 106,814.25 = 106,814.25 : x
  2. Step 2: Convert to fraction form
    65,745/106,814.25 = 106,814.25/x
  3. Step 3: Cross multiply
    65,745x = 106,814.25 × 106,814.25
  4. Step 4: Simplify right side
    65,745x = 11,409,284,003.06
  5. Step 5: Solve for x
    x = 11,409,284,003.06/65,745
  6. Step 6: Final answer
    x = 173,538.43

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.