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Finding the Third Proportional to 97,220.75 and 158,751.75

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Solution

The third proportional to 97,220.75 and 158,751.75 is: 259,225.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,220.75 : 158,751.75 = 158,751.75 : x
  2. Step 2: Convert to fraction form
    97,220.75/158,751.75 = 158,751.75/x
  3. Step 3: Cross multiply
    97,220.75x = 158,751.75 × 158,751.75
  4. Step 4: Simplify right side
    97,220.75x = 25,202,118,128.06
  5. Step 5: Solve for x
    x = 25,202,118,128.06/97,220.75
  6. Step 6: Final answer
    x = 259,225.71

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