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Finding the Third Proportional to 131,412 and 185,971

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Solution

The third proportional to 131,412 and 185,971 is: 263,181.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,412 : 185,971 = 185,971 : x
  2. Step 2: Convert to fraction form
    131,412/185,971 = 185,971/x
  3. Step 3: Cross multiply
    131,412x = 185,971 × 185,971
  4. Step 4: Simplify right side
    131,412x = 34,585,212,841
  5. Step 5: Solve for x
    x = 34,585,212,841/131,412
  6. Step 6: Final answer
    x = 263,181.54

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.