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Finding the Third Proportional to 56,083.50 and 120,972.38

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Solution

The third proportional to 56,083.50 and 120,972.38 is: 260,937.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,083.50 : 120,972.38 = 120,972.38 : x
  2. Step 2: Convert to fraction form
    56,083.50/120,972.38 = 120,972.38/x
  3. Step 3: Cross multiply
    56,083.50x = 120,972.38 × 120,972.38
  4. Step 4: Simplify right side
    56,083.50x = 14,634,315,513.14
  5. Step 5: Solve for x
    x = 14,634,315,513.14/56,083.50
  6. Step 6: Final answer
    x = 260,937.99

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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.