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Finding the Third Proportional to 56,450 and 82,991

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Solution

The third proportional to 56,450 and 82,991 is: 122,010.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,450 : 82,991 = 82,991 : x
  2. Step 2: Convert to fraction form
    56,450/82,991 = 82,991/x
  3. Step 3: Cross multiply
    56,450x = 82,991 × 82,991
  4. Step 4: Simplify right side
    56,450x = 6,887,506,081
  5. Step 5: Solve for x
    x = 6,887,506,081/56,450
  6. Step 6: Final answer
    x = 122,010.74

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.