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Finding the Third Proportional to 85,875 and 183,162

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Solution

The third proportional to 85,875 and 183,162 is: 390,664.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,875 : 183,162 = 183,162 : x
  2. Step 2: Convert to fraction form
    85,875/183,162 = 183,162/x
  3. Step 3: Cross multiply
    85,875x = 183,162 × 183,162
  4. Step 4: Simplify right side
    85,875x = 33,548,318,244
  5. Step 5: Solve for x
    x = 33,548,318,244/85,875
  6. Step 6: Final answer
    x = 390,664.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.