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Finding the Third Proportional to 43,242 and 94,314

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Solution

The third proportional to 43,242 and 94,314 is: 205,705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,242 : 94,314 = 94,314 : x
  2. Step 2: Convert to fraction form
    43,242/94,314 = 94,314/x
  3. Step 3: Cross multiply
    43,242x = 94,314 × 94,314
  4. Step 4: Simplify right side
    43,242x = 8,895,130,596
  5. Step 5: Solve for x
    x = 8,895,130,596/43,242
  6. Step 6: Final answer
    x = 205,705.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.