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Finding the Third Proportional to 117,036 and 180,818

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Solution

The third proportional to 117,036 and 180,818 is: 279,359.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,036 : 180,818 = 180,818 : x
  2. Step 2: Convert to fraction form
    117,036/180,818 = 180,818/x
  3. Step 3: Cross multiply
    117,036x = 180,818 × 180,818
  4. Step 4: Simplify right side
    117,036x = 32,695,149,124
  5. Step 5: Solve for x
    x = 32,695,149,124/117,036
  6. Step 6: Final answer
    x = 279,359.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.