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Finding the Third Proportional to 128,097.50 and 204,637.75

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Solution

The third proportional to 128,097.50 and 204,637.75 is: 326,911.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,097.50 : 204,637.75 = 204,637.75 : x
  2. Step 2: Convert to fraction form
    128,097.50/204,637.75 = 204,637.75/x
  3. Step 3: Cross multiply
    128,097.50x = 204,637.75 × 204,637.75
  4. Step 4: Simplify right side
    128,097.50x = 41,876,608,725.06
  5. Step 5: Solve for x
    x = 41,876,608,725.06/128,097.50
  6. Step 6: Final answer
    x = 326,911.99

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.