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Finding the Third Proportional to 85,465 and 184,071

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Solution

The third proportional to 85,465 and 184,071 is: 396,444.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,465 : 184,071 = 184,071 : x
  2. Step 2: Convert to fraction form
    85,465/184,071 = 184,071/x
  3. Step 3: Cross multiply
    85,465x = 184,071 × 184,071
  4. Step 4: Simplify right side
    85,465x = 33,882,133,041
  5. Step 5: Solve for x
    x = 33,882,133,041/85,465
  6. Step 6: Final answer
    x = 396,444.55

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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.