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Finding the Third Proportional to 33,201 and 70,335

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Solution

The third proportional to 33,201 and 70,335 is: 149,001.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,201 : 70,335 = 70,335 : x
  2. Step 2: Convert to fraction form
    33,201/70,335 = 70,335/x
  3. Step 3: Cross multiply
    33,201x = 70,335 × 70,335
  4. Step 4: Simplify right side
    33,201x = 4,947,012,225
  5. Step 5: Solve for x
    x = 4,947,012,225/33,201
  6. Step 6: Final answer
    x = 149,001.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.