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Finding the Third Proportional to 51,966 and 74,313

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Solution

The third proportional to 51,966 and 74,313 is: 106,269.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,966 : 74,313 = 74,313 : x
  2. Step 2: Convert to fraction form
    51,966/74,313 = 74,313/x
  3. Step 3: Cross multiply
    51,966x = 74,313 × 74,313
  4. Step 4: Simplify right side
    51,966x = 5,522,421,969
  5. Step 5: Solve for x
    x = 5,522,421,969/51,966
  6. Step 6: Final answer
    x = 106,269.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.