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Finding the Third Proportional to 43,474 and 91,618

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Solution

The third proportional to 43,474 and 91,618 is: 193,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,474 : 91,618 = 91,618 : x
  2. Step 2: Convert to fraction form
    43,474/91,618 = 91,618/x
  3. Step 3: Cross multiply
    43,474x = 91,618 × 91,618
  4. Step 4: Simplify right side
    43,474x = 8,393,857,924
  5. Step 5: Solve for x
    x = 8,393,857,924/43,474
  6. Step 6: Final answer
    x = 193,077.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.