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Finding the Third Proportional to 67,164 and 147,244

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Solution

The third proportional to 67,164 and 147,244 is: 322,803.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,164 : 147,244 = 147,244 : x
  2. Step 2: Convert to fraction form
    67,164/147,244 = 147,244/x
  3. Step 3: Cross multiply
    67,164x = 147,244 × 147,244
  4. Step 4: Simplify right side
    67,164x = 21,680,795,536
  5. Step 5: Solve for x
    x = 21,680,795,536/67,164
  6. Step 6: Final answer
    x = 322,803.82

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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.