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Finding the Third Proportional to 70,974.98 and 108,677.95

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Solution

The third proportional to 70,974.98 and 108,677.95 is: 166,409.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,974.98 : 108,677.95 = 108,677.95 : x
  2. Step 2: Convert to fraction form
    70,974.98/108,677.95 = 108,677.95/x
  3. Step 3: Cross multiply
    70,974.98x = 108,677.95 × 108,677.95
  4. Step 4: Simplify right side
    70,974.98x = 11,810,897,495.44
  5. Step 5: Solve for x
    x = 11,810,897,495.44/70,974.98
  6. Step 6: Final answer
    x = 166,409.30

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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.