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Finding the Third Proportional to 67,464 and 104,236

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Solution

The third proportional to 67,464 and 104,236 is: 161,050.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,464 : 104,236 = 104,236 : x
  2. Step 2: Convert to fraction form
    67,464/104,236 = 104,236/x
  3. Step 3: Cross multiply
    67,464x = 104,236 × 104,236
  4. Step 4: Simplify right side
    67,464x = 10,865,143,696
  5. Step 5: Solve for x
    x = 10,865,143,696/67,464
  6. Step 6: Final answer
    x = 161,050.99

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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.