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Finding the Third Proportional to 33,346 and 72,260

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Solution

The third proportional to 33,346 and 72,260 is: 156,585.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,346 : 72,260 = 72,260 : x
  2. Step 2: Convert to fraction form
    33,346/72,260 = 72,260/x
  3. Step 3: Cross multiply
    33,346x = 72,260 × 72,260
  4. Step 4: Simplify right side
    33,346x = 5,221,507,600
  5. Step 5: Solve for x
    x = 5,221,507,600/33,346
  6. Step 6: Final answer
    x = 156,585.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.