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Finding the Third Proportional to 67,149 and 143,516.25

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Solution

The third proportional to 67,149 and 143,516.25 is: 306,734.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,149 : 143,516.25 = 143,516.25 : x
  2. Step 2: Convert to fraction form
    67,149/143,516.25 = 143,516.25/x
  3. Step 3: Cross multiply
    67,149x = 143,516.25 × 143,516.25
  4. Step 4: Simplify right side
    67,149x = 20,596,914,014.06
  5. Step 5: Solve for x
    x = 20,596,914,014.06/67,149
  6. Step 6: Final answer
    x = 306,734.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.