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Finding the Third Proportional to 122,064 and 194,236

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Solution

The third proportional to 122,064 and 194,236 is: 309,080.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,064 : 194,236 = 194,236 : x
  2. Step 2: Convert to fraction form
    122,064/194,236 = 194,236/x
  3. Step 3: Cross multiply
    122,064x = 194,236 × 194,236
  4. Step 4: Simplify right side
    122,064x = 37,727,623,696
  5. Step 5: Solve for x
    x = 37,727,623,696/122,064
  6. Step 6: Final answer
    x = 309,080.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.