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Finding the Third Proportional to 45,177 and 70,269

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Solution

The third proportional to 45,177 and 70,269 is: 109,297.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,177 : 70,269 = 70,269 : x
  2. Step 2: Convert to fraction form
    45,177/70,269 = 70,269/x
  3. Step 3: Cross multiply
    45,177x = 70,269 × 70,269
  4. Step 4: Simplify right side
    45,177x = 4,937,732,361
  5. Step 5: Solve for x
    x = 4,937,732,361/45,177
  6. Step 6: Final answer
    x = 109,297.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.