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Finding the Third Proportional to 51,998 and 83,739

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Solution

The third proportional to 51,998 and 83,739 is: 134,855.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,998 : 83,739 = 83,739 : x
  2. Step 2: Convert to fraction form
    51,998/83,739 = 83,739/x
  3. Step 3: Cross multiply
    51,998x = 83,739 × 83,739
  4. Step 4: Simplify right side
    51,998x = 7,012,220,121
  5. Step 5: Solve for x
    x = 7,012,220,121/51,998
  6. Step 6: Final answer
    x = 134,855.57

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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.