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Finding the Third Proportional to 43,234 and 94,346

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Solution

The third proportional to 43,234 and 94,346 is: 205,883.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,234 : 94,346 = 94,346 : x
  2. Step 2: Convert to fraction form
    43,234/94,346 = 94,346/x
  3. Step 3: Cross multiply
    43,234x = 94,346 × 94,346
  4. Step 4: Simplify right side
    43,234x = 8,901,167,716
  5. Step 5: Solve for x
    x = 8,901,167,716/43,234
  6. Step 6: Final answer
    x = 205,883.51

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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.