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Finding the Third Proportional to 51,967 and 83,693

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Solution

The third proportional to 51,967 and 83,693 is: 134,787.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,967 : 83,693 = 83,693 : x
  2. Step 2: Convert to fraction form
    51,967/83,693 = 83,693/x
  3. Step 3: Cross multiply
    51,967x = 83,693 × 83,693
  4. Step 4: Simplify right side
    51,967x = 7,004,518,249
  5. Step 5: Solve for x
    x = 7,004,518,249/51,967
  6. Step 6: Final answer
    x = 134,787.81

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.