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Finding the Third Proportional to 42,254.75 and 85,675.75

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Solution

The third proportional to 42,254.75 and 85,675.75 is: 173,716.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,254.75 : 85,675.75 = 85,675.75 : x
  2. Step 2: Convert to fraction form
    42,254.75/85,675.75 = 85,675.75/x
  3. Step 3: Cross multiply
    42,254.75x = 85,675.75 × 85,675.75
  4. Step 4: Simplify right side
    42,254.75x = 7,340,334,138.06
  5. Step 5: Solve for x
    x = 7,340,334,138.06/42,254.75
  6. Step 6: Final answer
    x = 173,716.19

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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.