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Finding the Third Proportional to 65,709.56 and 102,944.25

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Solution

The third proportional to 65,709.56 and 102,944.25 is: 161,278.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,709.56 : 102,944.25 = 102,944.25 : x
  2. Step 2: Convert to fraction form
    65,709.56/102,944.25 = 102,944.25/x
  3. Step 3: Cross multiply
    65,709.56x = 102,944.25 × 102,944.25
  4. Step 4: Simplify right side
    65,709.56x = 10,597,518,608.06
  5. Step 5: Solve for x
    x = 10,597,518,608.06/65,709.56
  6. Step 6: Final answer
    x = 161,278.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.