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Finding the Third Proportional to 58,545 and 125,965

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Solution

The third proportional to 58,545 and 125,965 is: 271,025.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,545 : 125,965 = 125,965 : x
  2. Step 2: Convert to fraction form
    58,545/125,965 = 125,965/x
  3. Step 3: Cross multiply
    58,545x = 125,965 × 125,965
  4. Step 4: Simplify right side
    58,545x = 15,867,181,225
  5. Step 5: Solve for x
    x = 15,867,181,225/58,545
  6. Step 6: Final answer
    x = 271,025.39

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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.