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Finding the Third Proportional to 67,986 and 142,164

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Solution

The third proportional to 67,986 and 142,164 is: 297,275.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,986 : 142,164 = 142,164 : x
  2. Step 2: Convert to fraction form
    67,986/142,164 = 142,164/x
  3. Step 3: Cross multiply
    67,986x = 142,164 × 142,164
  4. Step 4: Simplify right side
    67,986x = 20,210,602,896
  5. Step 5: Solve for x
    x = 20,210,602,896/67,986
  6. Step 6: Final answer
    x = 297,275.95

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.