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Finding the Third Proportional to 67,280 and 143,196

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Solution

The third proportional to 67,280 and 143,196 is: 304,772.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,280 : 143,196 = 143,196 : x
  2. Step 2: Convert to fraction form
    67,280/143,196 = 143,196/x
  3. Step 3: Cross multiply
    67,280x = 143,196 × 143,196
  4. Step 4: Simplify right side
    67,280x = 20,505,094,416
  5. Step 5: Solve for x
    x = 20,505,094,416/67,280
  6. Step 6: Final answer
    x = 304,772.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.