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Finding the Third Proportional to 56,324 and 120,968

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Solution

The third proportional to 56,324 and 120,968 is: 259,805.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,324 : 120,968 = 120,968 : x
  2. Step 2: Convert to fraction form
    56,324/120,968 = 120,968/x
  3. Step 3: Cross multiply
    56,324x = 120,968 × 120,968
  4. Step 4: Simplify right side
    56,324x = 14,633,257,024
  5. Step 5: Solve for x
    x = 14,633,257,024/56,324
  6. Step 6: Final answer
    x = 259,805.00

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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.