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Finding the Third Proportional to 56,783 and 119,451

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Solution

The third proportional to 56,783 and 119,451 is: 251,281.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,783 : 119,451 = 119,451 : x
  2. Step 2: Convert to fraction form
    56,783/119,451 = 119,451/x
  3. Step 3: Cross multiply
    56,783x = 119,451 × 119,451
  4. Step 4: Simplify right side
    56,783x = 14,268,541,401
  5. Step 5: Solve for x
    x = 14,268,541,401/56,783
  6. Step 6: Final answer
    x = 251,281.92

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.