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Finding the Third Proportional to 125,114.06 and 275,135.06

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Solution

The third proportional to 125,114.06 and 275,135.06 is: 605,042.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,114.06 : 275,135.06 = 275,135.06 : x
  2. Step 2: Convert to fraction form
    125,114.06/275,135.06 = 275,135.06/x
  3. Step 3: Cross multiply
    125,114.06x = 275,135.06 × 275,135.06
  4. Step 4: Simplify right side
    125,114.06x = 75,699,302,616.88
  5. Step 5: Solve for x
    x = 75,699,302,616.88/125,114.06
  6. Step 6: Final answer
    x = 605,042.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.