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Finding the Third Proportional to 70,754 and 149,188

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Solution

The third proportional to 70,754 and 149,188 is: 314,569.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,754 : 149,188 = 149,188 : x
  2. Step 2: Convert to fraction form
    70,754/149,188 = 149,188/x
  3. Step 3: Cross multiply
    70,754x = 149,188 × 149,188
  4. Step 4: Simplify right side
    70,754x = 22,257,059,344
  5. Step 5: Solve for x
    x = 22,257,059,344/70,754
  6. Step 6: Final answer
    x = 314,569.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.