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Finding the Third Proportional to 85,214.25 and 178,992

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Solution

The third proportional to 85,214.25 and 178,992 is: 375,971.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,214.25 : 178,992 = 178,992 : x
  2. Step 2: Convert to fraction form
    85,214.25/178,992 = 178,992/x
  3. Step 3: Cross multiply
    85,214.25x = 178,992 × 178,992
  4. Step 4: Simplify right side
    85,214.25x = 32,038,136,064
  5. Step 5: Solve for x
    x = 32,038,136,064/85,214.25
  6. Step 6: Final answer
    x = 375,971.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.