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Finding the Third Proportional to 65,616.75 and 101,796.75

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Solution

The third proportional to 65,616.75 and 101,796.75 is: 157,925.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,616.75 : 101,796.75 = 101,796.75 : x
  2. Step 2: Convert to fraction form
    65,616.75/101,796.75 = 101,796.75/x
  3. Step 3: Cross multiply
    65,616.75x = 101,796.75 × 101,796.75
  4. Step 4: Simplify right side
    65,616.75x = 10,362,578,310.56
  5. Step 5: Solve for x
    x = 10,362,578,310.56/65,616.75
  6. Step 6: Final answer
    x = 157,925.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.