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Finding the Third Proportional to 128,854 and 204,993

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Solution

The third proportional to 128,854 and 204,993 is: 326,122.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,854 : 204,993 = 204,993 : x
  2. Step 2: Convert to fraction form
    128,854/204,993 = 204,993/x
  3. Step 3: Cross multiply
    128,854x = 204,993 × 204,993
  4. Step 4: Simplify right side
    128,854x = 42,022,130,049
  5. Step 5: Solve for x
    x = 42,022,130,049/128,854
  6. Step 6: Final answer
    x = 326,122.05

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Why These Related Problems?

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