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Finding the Third Proportional to 65,701.13 and 105,750.56

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Solution

The third proportional to 65,701.13 and 105,750.56 is: 170,212.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,701.13 : 105,750.56 = 105,750.56 : x
  2. Step 2: Convert to fraction form
    65,701.13/105,750.56 = 105,750.56/x
  3. Step 3: Cross multiply
    65,701.13x = 105,750.56 × 105,750.56
  4. Step 4: Simplify right side
    65,701.13x = 11,183,181,469.07
  5. Step 5: Solve for x
    x = 11,183,181,469.07/65,701.13
  6. Step 6: Final answer
    x = 170,212.94

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.