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Finding the Third Proportional to 67,284 and 104,482

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Solution

The third proportional to 67,284 and 104,482 is: 162,244.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,284 : 104,482 = 104,482 : x
  2. Step 2: Convert to fraction form
    67,284/104,482 = 104,482/x
  3. Step 3: Cross multiply
    67,284x = 104,482 × 104,482
  4. Step 4: Simplify right side
    67,284x = 10,916,488,324
  5. Step 5: Solve for x
    x = 10,916,488,324/67,284
  6. Step 6: Final answer
    x = 162,244.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.