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Finding the Third Proportional to 101,594.25 and 158,208.19

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Solution

The third proportional to 101,594.25 and 158,208.19 is: 246,370.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,594.25 : 158,208.19 = 158,208.19 : x
  2. Step 2: Convert to fraction form
    101,594.25/158,208.19 = 158,208.19/x
  3. Step 3: Cross multiply
    101,594.25x = 158,208.19 × 158,208.19
  4. Step 4: Simplify right side
    101,594.25x = 25,029,830,592.04
  5. Step 5: Solve for x
    x = 25,029,830,592.04/101,594.25
  6. Step 6: Final answer
    x = 246,370.54

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