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Finding the Third Proportional to 70,735.78 and 151,594.03

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Solution

The third proportional to 70,735.78 and 151,594.03 is: 324,881.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,735.78 : 151,594.03 = 151,594.03 : x
  2. Step 2: Convert to fraction form
    70,735.78/151,594.03 = 151,594.03/x
  3. Step 3: Cross multiply
    70,735.78x = 151,594.03 × 151,594.03
  4. Step 4: Simplify right side
    70,735.78x = 22,980,750,310.63
  5. Step 5: Solve for x
    x = 22,980,750,310.63/70,735.78
  6. Step 6: Final answer
    x = 324,881.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.