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Finding the Third Proportional to 51,980 and 83,706

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Solution

The third proportional to 51,980 and 83,706 is: 134,795.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,980 : 83,706 = 83,706 : x
  2. Step 2: Convert to fraction form
    51,980/83,706 = 83,706/x
  3. Step 3: Cross multiply
    51,980x = 83,706 × 83,706
  4. Step 4: Simplify right side
    51,980x = 7,006,694,436
  5. Step 5: Solve for x
    x = 7,006,694,436/51,980
  6. Step 6: Final answer
    x = 134,795.97

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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.