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Finding the Third Proportional to 67,138 and 144,580

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Solution

The third proportional to 67,138 and 144,580 is: 311,349.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,138 : 144,580 = 144,580 : x
  2. Step 2: Convert to fraction form
    67,138/144,580 = 144,580/x
  3. Step 3: Cross multiply
    67,138x = 144,580 × 144,580
  4. Step 4: Simplify right side
    67,138x = 20,903,376,400
  5. Step 5: Solve for x
    x = 20,903,376,400/67,138
  6. Step 6: Final answer
    x = 311,349.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.