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Finding the Third Proportional to 70,659.50 and 153,589

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Solution

The third proportional to 70,659.50 and 153,589 is: 333,848.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,659.50 : 153,589 = 153,589 : x
  2. Step 2: Convert to fraction form
    70,659.50/153,589 = 153,589/x
  3. Step 3: Cross multiply
    70,659.50x = 153,589 × 153,589
  4. Step 4: Simplify right side
    70,659.50x = 23,589,580,921
  5. Step 5: Solve for x
    x = 23,589,580,921/70,659.50
  6. Step 6: Final answer
    x = 333,848.68

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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.