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Finding the Third Proportional to 72,965.25 and 158,708.25

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Solution

The third proportional to 72,965.25 and 158,708.25 is: 345,209.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,965.25 : 158,708.25 = 158,708.25 : x
  2. Step 2: Convert to fraction form
    72,965.25/158,708.25 = 158,708.25/x
  3. Step 3: Cross multiply
    72,965.25x = 158,708.25 × 158,708.25
  4. Step 4: Simplify right side
    72,965.25x = 25,188,308,618.06
  5. Step 5: Solve for x
    x = 25,188,308,618.06/72,965.25
  6. Step 6: Final answer
    x = 345,209.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.