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Finding the Third Proportional to 65,710.69 and 102,944.81

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Solution

The third proportional to 65,710.69 and 102,944.81 is: 161,277.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,710.69 : 102,944.81 = 102,944.81 : x
  2. Step 2: Convert to fraction form
    65,710.69/102,944.81 = 102,944.81/x
  3. Step 3: Cross multiply
    65,710.69x = 102,944.81 × 102,944.81
  4. Step 4: Simplify right side
    65,710.69x = 10,597,634,420.66
  5. Step 5: Solve for x
    x = 10,597,634,420.66/65,710.69
  6. Step 6: Final answer
    x = 161,277.18

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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.