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Finding the Third Proportional to 120,066 and 258,753

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Solution

The third proportional to 120,066 and 258,753 is: 557,635.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,066 : 258,753 = 258,753 : x
  2. Step 2: Convert to fraction form
    120,066/258,753 = 258,753/x
  3. Step 3: Cross multiply
    120,066x = 258,753 × 258,753
  4. Step 4: Simplify right side
    120,066x = 66,953,115,009
  5. Step 5: Solve for x
    x = 66,953,115,009/120,066
  6. Step 6: Final answer
    x = 557,635.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.