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Finding the Third Proportional to 85,960 and 184,618

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Solution

The third proportional to 85,960 and 184,618 is: 396,507.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,960 : 184,618 = 184,618 : x
  2. Step 2: Convert to fraction form
    85,960/184,618 = 184,618/x
  3. Step 3: Cross multiply
    85,960x = 184,618 × 184,618
  4. Step 4: Simplify right side
    85,960x = 34,083,805,924
  5. Step 5: Solve for x
    x = 34,083,805,924/85,960
  6. Step 6: Final answer
    x = 396,507.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.