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Finding the Third Proportional to 124,984.50 and 274,983

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Solution

The third proportional to 124,984.50 and 274,983 is: 605,000.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,984.50 : 274,983 = 274,983 : x
  2. Step 2: Convert to fraction form
    124,984.50/274,983 = 274,983/x
  3. Step 3: Cross multiply
    124,984.50x = 274,983 × 274,983
  4. Step 4: Simplify right side
    124,984.50x = 75,615,650,289
  5. Step 5: Solve for x
    x = 75,615,650,289/124,984.50
  6. Step 6: Final answer
    x = 605,000.22

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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.