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Finding the Third Proportional to 66,706 and 93,819

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Solution

The third proportional to 66,706 and 93,819 is: 131,952.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,706 : 93,819 = 93,819 : x
  2. Step 2: Convert to fraction form
    66,706/93,819 = 93,819/x
  3. Step 3: Cross multiply
    66,706x = 93,819 × 93,819
  4. Step 4: Simplify right side
    66,706x = 8,802,004,761
  5. Step 5: Solve for x
    x = 8,802,004,761/66,706
  6. Step 6: Final answer
    x = 131,952.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.