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Finding the Third Proportional to 120,084.75 and 258,725.25

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Solution

The third proportional to 120,084.75 and 258,725.25 is: 557,429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,084.75 : 258,725.25 = 258,725.25 : x
  2. Step 2: Convert to fraction form
    120,084.75/258,725.25 = 258,725.25/x
  3. Step 3: Cross multiply
    120,084.75x = 258,725.25 × 258,725.25
  4. Step 4: Simplify right side
    120,084.75x = 66,938,754,987.56
  5. Step 5: Solve for x
    x = 66,938,754,987.56/120,084.75
  6. Step 6: Final answer
    x = 557,429.27

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