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Finding the Third Proportional to 104,626.69 and 156,643.88

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Solution

The third proportional to 104,626.69 and 156,643.88 is: 234,522.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,626.69 : 156,643.88 = 156,643.88 : x
  2. Step 2: Convert to fraction form
    104,626.69/156,643.88 = 156,643.88/x
  3. Step 3: Cross multiply
    104,626.69x = 156,643.88 × 156,643.88
  4. Step 4: Simplify right side
    104,626.69x = 24,537,303,575.02
  5. Step 5: Solve for x
    x = 24,537,303,575.02/104,626.69
  6. Step 6: Final answer
    x = 234,522.42

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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.