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Finding the Third Proportional to 97,449.75 and 152,327.25

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Solution

The third proportional to 97,449.75 and 152,327.25 is: 238,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,449.75 : 152,327.25 = 152,327.25 : x
  2. Step 2: Convert to fraction form
    97,449.75/152,327.25 = 152,327.25/x
  3. Step 3: Cross multiply
    97,449.75x = 152,327.25 × 152,327.25
  4. Step 4: Simplify right side
    97,449.75x = 23,203,591,092.56
  5. Step 5: Solve for x
    x = 23,203,591,092.56/97,449.75
  6. Step 6: Final answer
    x = 238,108.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.