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Finding the Third Proportional to 89,648.25 and 193,127.75

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Solution

The third proportional to 89,648.25 and 193,127.75 is: 416,051.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,648.25 : 193,127.75 = 193,127.75 : x
  2. Step 2: Convert to fraction form
    89,648.25/193,127.75 = 193,127.75/x
  3. Step 3: Cross multiply
    89,648.25x = 193,127.75 × 193,127.75
  4. Step 4: Simplify right side
    89,648.25x = 37,298,327,820.06
  5. Step 5: Solve for x
    x = 37,298,327,820.06/89,648.25
  6. Step 6: Final answer
    x = 416,051.93

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Why These Related Problems?

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