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Finding the Third Proportional to 56,573 and 83,140

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Solution

The third proportional to 56,573 and 83,140 is: 122,183.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,573 : 83,140 = 83,140 : x
  2. Step 2: Convert to fraction form
    56,573/83,140 = 83,140/x
  3. Step 3: Cross multiply
    56,573x = 83,140 × 83,140
  4. Step 4: Simplify right side
    56,573x = 6,912,259,600
  5. Step 5: Solve for x
    x = 6,912,259,600/56,573
  6. Step 6: Final answer
    x = 122,183.01

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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.