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Finding the Third Proportional to 104,077 and 155,695

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Solution

The third proportional to 104,077 and 155,695 is: 232,913.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,077 : 155,695 = 155,695 : x
  2. Step 2: Convert to fraction form
    104,077/155,695 = 155,695/x
  3. Step 3: Cross multiply
    104,077x = 155,695 × 155,695
  4. Step 4: Simplify right side
    104,077x = 24,240,933,025
  5. Step 5: Solve for x
    x = 24,240,933,025/104,077
  6. Step 6: Final answer
    x = 232,913.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.