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Finding the Third Proportional to 119,701.75 and 257,043.75

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Solution

The third proportional to 119,701.75 and 257,043.75 is: 551,967.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,701.75 : 257,043.75 = 257,043.75 : x
  2. Step 2: Convert to fraction form
    119,701.75/257,043.75 = 257,043.75/x
  3. Step 3: Cross multiply
    119,701.75x = 257,043.75 × 257,043.75
  4. Step 4: Simplify right side
    119,701.75x = 66,071,489,414.06
  5. Step 5: Solve for x
    x = 66,071,489,414.06/119,701.75
  6. Step 6: Final answer
    x = 551,967.61

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.