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Finding the Third Proportional to 67,482 and 147,676

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Solution

The third proportional to 67,482 and 147,676 is: 323,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,482 : 147,676 = 147,676 : x
  2. Step 2: Convert to fraction form
    67,482/147,676 = 147,676/x
  3. Step 3: Cross multiply
    67,482x = 147,676 × 147,676
  4. Step 4: Simplify right side
    67,482x = 21,808,200,976
  5. Step 5: Solve for x
    x = 21,808,200,976/67,482
  6. Step 6: Final answer
    x = 323,170.64

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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.