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Finding the Third Proportional to 85,450 and 187,010

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Solution

The third proportional to 85,450 and 187,010 is: 409,277.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,450 : 187,010 = 187,010 : x
  2. Step 2: Convert to fraction form
    85,450/187,010 = 187,010/x
  3. Step 3: Cross multiply
    85,450x = 187,010 × 187,010
  4. Step 4: Simplify right side
    85,450x = 34,972,740,100
  5. Step 5: Solve for x
    x = 34,972,740,100/85,450
  6. Step 6: Final answer
    x = 409,277.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.