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Finding the Third Proportional to 97,067.25 and 152,300.25

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Solution

The third proportional to 97,067.25 and 152,300.25 is: 238,961.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,067.25 : 152,300.25 = 152,300.25 : x
  2. Step 2: Convert to fraction form
    97,067.25/152,300.25 = 152,300.25/x
  3. Step 3: Cross multiply
    97,067.25x = 152,300.25 × 152,300.25
  4. Step 4: Simplify right side
    97,067.25x = 23,195,366,150.06
  5. Step 5: Solve for x
    x = 23,195,366,150.06/97,067.25
  6. Step 6: Final answer
    x = 238,961.81

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.