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Finding the Third Proportional to 67,168 and 147,584

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Solution

The third proportional to 67,168 and 147,584 is: 324,276.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,168 : 147,584 = 147,584 : x
  2. Step 2: Convert to fraction form
    67,168/147,584 = 147,584/x
  3. Step 3: Cross multiply
    67,168x = 147,584 × 147,584
  4. Step 4: Simplify right side
    67,168x = 21,781,037,056
  5. Step 5: Solve for x
    x = 21,781,037,056/67,168
  6. Step 6: Final answer
    x = 324,276.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.