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Finding the Third Proportional to 33,354 and 70,460

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Solution

The third proportional to 33,354 and 70,460 is: 148,846.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,354 : 70,460 = 70,460 : x
  2. Step 2: Convert to fraction form
    33,354/70,460 = 70,460/x
  3. Step 3: Cross multiply
    33,354x = 70,460 × 70,460
  4. Step 4: Simplify right side
    33,354x = 4,964,611,600
  5. Step 5: Solve for x
    x = 4,964,611,600/33,354
  6. Step 6: Final answer
    x = 148,846.06

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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.