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Finding the Third Proportional to 65,925 and 104,815

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Solution

The third proportional to 65,925 and 104,815 is: 166,646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,925 : 104,815 = 104,815 : x
  2. Step 2: Convert to fraction form
    65,925/104,815 = 104,815/x
  3. Step 3: Cross multiply
    65,925x = 104,815 × 104,815
  4. Step 4: Simplify right side
    65,925x = 10,986,184,225
  5. Step 5: Solve for x
    x = 10,986,184,225/65,925
  6. Step 6: Final answer
    x = 166,646.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.