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Finding the Third Proportional to 56,662.50 and 123,333

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Solution

The third proportional to 56,662.50 and 123,333 is: 268,449.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,662.50 : 123,333 = 123,333 : x
  2. Step 2: Convert to fraction form
    56,662.50/123,333 = 123,333/x
  3. Step 3: Cross multiply
    56,662.50x = 123,333 × 123,333
  4. Step 4: Simplify right side
    56,662.50x = 15,211,028,889
  5. Step 5: Solve for x
    x = 15,211,028,889/56,662.50
  6. Step 6: Final answer
    x = 268,449.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.