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Finding the Third Proportional to 102,530.81 and 160,516.69

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Solution

The third proportional to 102,530.81 and 160,516.69 is: 251,296.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,530.81 : 160,516.69 = 160,516.69 : x
  2. Step 2: Convert to fraction form
    102,530.81/160,516.69 = 160,516.69/x
  3. Step 3: Cross multiply
    102,530.81x = 160,516.69 × 160,516.69
  4. Step 4: Simplify right side
    102,530.81x = 25,765,606,965.97
  5. Step 5: Solve for x
    x = 25,765,606,965.97/102,530.81
  6. Step 6: Final answer
    x = 251,296.23

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