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Finding the Third Proportional to 46,289 and 99,589

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Solution

The third proportional to 46,289 and 99,589 is: 214,261.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,289 : 99,589 = 99,589 : x
  2. Step 2: Convert to fraction form
    46,289/99,589 = 99,589/x
  3. Step 3: Cross multiply
    46,289x = 99,589 × 99,589
  4. Step 4: Simplify right side
    46,289x = 9,917,968,921
  5. Step 5: Solve for x
    x = 9,917,968,921/46,289
  6. Step 6: Final answer
    x = 214,261.90

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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.