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Finding the Third Proportional to 85,876 and 183,164

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Solution

The third proportional to 85,876 and 183,164 is: 390,668.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,876 : 183,164 = 183,164 : x
  2. Step 2: Convert to fraction form
    85,876/183,164 = 183,164/x
  3. Step 3: Cross multiply
    85,876x = 183,164 × 183,164
  4. Step 4: Simplify right side
    85,876x = 33,549,050,896
  5. Step 5: Solve for x
    x = 33,549,050,896/85,876
  6. Step 6: Final answer
    x = 390,668.53

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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.