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Finding the Third Proportional to 119,910.25 and 259,032.25

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Solution

The third proportional to 119,910.25 and 259,032.25 is: 559,566.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,910.25 : 259,032.25 = 259,032.25 : x
  2. Step 2: Convert to fraction form
    119,910.25/259,032.25 = 259,032.25/x
  3. Step 3: Cross multiply
    119,910.25x = 259,032.25 × 259,032.25
  4. Step 4: Simplify right side
    119,910.25x = 67,097,706,540.06
  5. Step 5: Solve for x
    x = 67,097,706,540.06/119,910.25
  6. Step 6: Final answer
    x = 559,566.06

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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.