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Finding the Third Proportional to 70,941 and 145,536

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Solution

The third proportional to 70,941 and 145,536 is: 298,568.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,941 : 145,536 = 145,536 : x
  2. Step 2: Convert to fraction form
    70,941/145,536 = 145,536/x
  3. Step 3: Cross multiply
    70,941x = 145,536 × 145,536
  4. Step 4: Simplify right side
    70,941x = 21,180,727,296
  5. Step 5: Solve for x
    x = 21,180,727,296/70,941
  6. Step 6: Final answer
    x = 298,568.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.