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Finding the Third Proportional to 58,406.25 and 125,697.75

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Solution

The third proportional to 58,406.25 and 125,697.75 is: 270,517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,406.25 : 125,697.75 = 125,697.75 : x
  2. Step 2: Convert to fraction form
    58,406.25/125,697.75 = 125,697.75/x
  3. Step 3: Cross multiply
    58,406.25x = 125,697.75 × 125,697.75
  4. Step 4: Simplify right side
    58,406.25x = 15,799,924,355.06
  5. Step 5: Solve for x
    x = 15,799,924,355.06/58,406.25
  6. Step 6: Final answer
    x = 270,517.70

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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.