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Finding the Third Proportional to 67,970 and 149,071

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Solution

The third proportional to 67,970 and 149,071 is: 326,940.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,970 : 149,071 = 149,071 : x
  2. Step 2: Convert to fraction form
    67,970/149,071 = 149,071/x
  3. Step 3: Cross multiply
    67,970x = 149,071 × 149,071
  4. Step 4: Simplify right side
    67,970x = 22,222,163,041
  5. Step 5: Solve for x
    x = 22,222,163,041/67,970
  6. Step 6: Final answer
    x = 326,940.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.