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Finding the Third Proportional to 124,058.25 and 262,676.25

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Solution

The third proportional to 124,058.25 and 262,676.25 is: 556,180.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,058.25 : 262,676.25 = 262,676.25 : x
  2. Step 2: Convert to fraction form
    124,058.25/262,676.25 = 262,676.25/x
  3. Step 3: Cross multiply
    124,058.25x = 262,676.25 × 262,676.25
  4. Step 4: Simplify right side
    124,058.25x = 68,998,812,314.06
  5. Step 5: Solve for x
    x = 68,998,812,314.06/124,058.25
  6. Step 6: Final answer
    x = 556,180.76

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.