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Finding the Third Proportional to 35,696 and 66,106

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Solution

The third proportional to 35,696 and 66,106 is: 122,422.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,696 : 66,106 = 66,106 : x
  2. Step 2: Convert to fraction form
    35,696/66,106 = 66,106/x
  3. Step 3: Cross multiply
    35,696x = 66,106 × 66,106
  4. Step 4: Simplify right side
    35,696x = 4,370,003,236
  5. Step 5: Solve for x
    x = 4,370,003,236/35,696
  6. Step 6: Final answer
    x = 122,422.77

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.