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Finding the Third Proportional to 45,570 and 68,169

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Solution

The third proportional to 45,570 and 68,169 is: 101,975.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,570 : 68,169 = 68,169 : x
  2. Step 2: Convert to fraction form
    45,570/68,169 = 68,169/x
  3. Step 3: Cross multiply
    45,570x = 68,169 × 68,169
  4. Step 4: Simplify right side
    45,570x = 4,647,012,561
  5. Step 5: Solve for x
    x = 4,647,012,561/45,570
  6. Step 6: Final answer
    x = 101,975.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.