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Finding the Third Proportional to 67,629 and 145,442

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Solution

The third proportional to 67,629 and 145,442 is: 312,785.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,629 : 145,442 = 145,442 : x
  2. Step 2: Convert to fraction form
    67,629/145,442 = 145,442/x
  3. Step 3: Cross multiply
    67,629x = 145,442 × 145,442
  4. Step 4: Simplify right side
    67,629x = 21,153,375,364
  5. Step 5: Solve for x
    x = 21,153,375,364/67,629
  6. Step 6: Final answer
    x = 312,785.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.