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Finding the Third Proportional to 51,923.50 and 113,457

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Solution

The third proportional to 51,923.50 and 113,457 is: 247,912.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,923.50 : 113,457 = 113,457 : x
  2. Step 2: Convert to fraction form
    51,923.50/113,457 = 113,457/x
  3. Step 3: Cross multiply
    51,923.50x = 113,457 × 113,457
  4. Step 4: Simplify right side
    51,923.50x = 12,872,490,849
  5. Step 5: Solve for x
    x = 12,872,490,849/51,923.50
  6. Step 6: Final answer
    x = 247,912.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.