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Finding the Third Proportional to 78,987 and 173,984

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Solution

The third proportional to 78,987 and 173,984 is: 383,233.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,987 : 173,984 = 173,984 : x
  2. Step 2: Convert to fraction form
    78,987/173,984 = 173,984/x
  3. Step 3: Cross multiply
    78,987x = 173,984 × 173,984
  4. Step 4: Simplify right side
    78,987x = 30,270,432,256
  5. Step 5: Solve for x
    x = 30,270,432,256/78,987
  6. Step 6: Final answer
    x = 383,233.09

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.