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Finding the Third Proportional to 128,427.19 and 204,531.75

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Solution

The third proportional to 128,427.19 and 204,531.75 is: 325,735.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,427.19 : 204,531.75 = 204,531.75 : x
  2. Step 2: Convert to fraction form
    128,427.19/204,531.75 = 204,531.75/x
  3. Step 3: Cross multiply
    128,427.19x = 204,531.75 × 204,531.75
  4. Step 4: Simplify right side
    128,427.19x = 41,833,236,758.06
  5. Step 5: Solve for x
    x = 41,833,236,758.06/128,427.19
  6. Step 6: Final answer
    x = 325,735.05

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.