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Finding the Third Proportional to 97,223.25 and 158,755.50

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Solution

The third proportional to 97,223.25 and 158,755.50 is: 259,231.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,223.25 : 158,755.50 = 158,755.50 : x
  2. Step 2: Convert to fraction form
    97,223.25/158,755.50 = 158,755.50/x
  3. Step 3: Cross multiply
    97,223.25x = 158,755.50 × 158,755.50
  4. Step 4: Simplify right side
    97,223.25x = 25,203,308,780.25
  5. Step 5: Solve for x
    x = 25,203,308,780.25/97,223.25
  6. Step 6: Final answer
    x = 259,231.29

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.