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Finding the Third Proportional to 43,618 and 94,612

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Solution

The third proportional to 43,618 and 94,612 is: 205,223.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,618 : 94,612 = 94,612 : x
  2. Step 2: Convert to fraction form
    43,618/94,612 = 94,612/x
  3. Step 3: Cross multiply
    43,618x = 94,612 × 94,612
  4. Step 4: Simplify right side
    43,618x = 8,951,430,544
  5. Step 5: Solve for x
    x = 8,951,430,544/43,618
  6. Step 6: Final answer
    x = 205,223.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.