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Finding the Third Proportional to 36,335 and 78,236

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Solution

The third proportional to 36,335 and 78,236 is: 168,456.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,335 : 78,236 = 78,236 : x
  2. Step 2: Convert to fraction form
    36,335/78,236 = 78,236/x
  3. Step 3: Cross multiply
    36,335x = 78,236 × 78,236
  4. Step 4: Simplify right side
    36,335x = 6,120,871,696
  5. Step 5: Solve for x
    x = 6,120,871,696/36,335
  6. Step 6: Final answer
    x = 168,456.63

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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.