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Finding the Third Proportional to 76,446 and 115,818

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Solution

The third proportional to 76,446 and 115,818 is: 175,467.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,446 : 115,818 = 115,818 : x
  2. Step 2: Convert to fraction form
    76,446/115,818 = 115,818/x
  3. Step 3: Cross multiply
    76,446x = 115,818 × 115,818
  4. Step 4: Simplify right side
    76,446x = 13,413,809,124
  5. Step 5: Solve for x
    x = 13,413,809,124/76,446
  6. Step 6: Final answer
    x = 175,467.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.