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Finding the Third Proportional to 77,595 and 119,886

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Solution

The third proportional to 77,595 and 119,886 is: 185,226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,595 : 119,886 = 119,886 : x
  2. Step 2: Convert to fraction form
    77,595/119,886 = 119,886/x
  3. Step 3: Cross multiply
    77,595x = 119,886 × 119,886
  4. Step 4: Simplify right side
    77,595x = 14,372,652,996
  5. Step 5: Solve for x
    x = 14,372,652,996/77,595
  6. Step 6: Final answer
    x = 185,226.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.