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Finding the Third Proportional to 67,247 and 145,627

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Solution

The third proportional to 67,247 and 145,627 is: 315,363.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,247 : 145,627 = 145,627 : x
  2. Step 2: Convert to fraction form
    67,247/145,627 = 145,627/x
  3. Step 3: Cross multiply
    67,247x = 145,627 × 145,627
  4. Step 4: Simplify right side
    67,247x = 21,207,223,129
  5. Step 5: Solve for x
    x = 21,207,223,129/67,247
  6. Step 6: Final answer
    x = 315,363.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.