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Finding the Third Proportional to 110,664 and 169,236

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Solution

The third proportional to 110,664 and 169,236 is: 258,808.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,664 : 169,236 = 169,236 : x
  2. Step 2: Convert to fraction form
    110,664/169,236 = 169,236/x
  3. Step 3: Cross multiply
    110,664x = 169,236 × 169,236
  4. Step 4: Simplify right side
    110,664x = 28,640,823,696
  5. Step 5: Solve for x
    x = 28,640,823,696/110,664
  6. Step 6: Final answer
    x = 258,808.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.