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Finding the Third Proportional to 51,983 and 83,717

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Solution

The third proportional to 51,983 and 83,717 is: 134,823.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,983 : 83,717 = 83,717 : x
  2. Step 2: Convert to fraction form
    51,983/83,717 = 83,717/x
  3. Step 3: Cross multiply
    51,983x = 83,717 × 83,717
  4. Step 4: Simplify right side
    51,983x = 7,008,536,089
  5. Step 5: Solve for x
    x = 7,008,536,089/51,983
  6. Step 6: Final answer
    x = 134,823.62

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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.