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Finding the Third Proportional to 67,280 and 158,596

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Solution

The third proportional to 67,280 and 158,596 is: 373,850.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,280 : 158,596 = 158,596 : x
  2. Step 2: Convert to fraction form
    67,280/158,596 = 158,596/x
  3. Step 3: Cross multiply
    67,280x = 158,596 × 158,596
  4. Step 4: Simplify right side
    67,280x = 25,152,691,216
  5. Step 5: Solve for x
    x = 25,152,691,216/67,280
  6. Step 6: Final answer
    x = 373,850.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.