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Finding the Third Proportional to 42,245.30 and 85,656.23

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Solution

The third proportional to 42,245.30 and 85,656.23 is: 173,675.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,245.30 : 85,656.23 = 85,656.23 : x
  2. Step 2: Convert to fraction form
    42,245.30/85,656.23 = 85,656.23/x
  3. Step 3: Cross multiply
    42,245.30x = 85,656.23 × 85,656.23
  4. Step 4: Simplify right side
    42,245.30x = 7,336,990,487.30
  5. Step 5: Solve for x
    x = 7,336,990,487.30/42,245.30
  6. Step 6: Final answer
    x = 173,675.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.