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Finding the Third Proportional to 56,836 and 119,563

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Solution

The third proportional to 56,836 and 119,563 is: 251,518.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,836 : 119,563 = 119,563 : x
  2. Step 2: Convert to fraction form
    56,836/119,563 = 119,563/x
  3. Step 3: Cross multiply
    56,836x = 119,563 × 119,563
  4. Step 4: Simplify right side
    56,836x = 14,295,310,969
  5. Step 5: Solve for x
    x = 14,295,310,969/56,836
  6. Step 6: Final answer
    x = 251,518.60

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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.