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Finding the Third Proportional to 58,138.50 and 125,571.75

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Solution

The third proportional to 58,138.50 and 125,571.75 is: 271,218.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,138.50 : 125,571.75 = 125,571.75 : x
  2. Step 2: Convert to fraction form
    58,138.50/125,571.75 = 125,571.75/x
  3. Step 3: Cross multiply
    58,138.50x = 125,571.75 × 125,571.75
  4. Step 4: Simplify right side
    58,138.50x = 15,768,264,398.06
  5. Step 5: Solve for x
    x = 15,768,264,398.06/58,138.50
  6. Step 6: Final answer
    x = 271,218.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.