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Finding the Third Proportional to 78,984 and 173,979

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Solution

The third proportional to 78,984 and 173,979 is: 383,225.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,984 : 173,979 = 173,979 : x
  2. Step 2: Convert to fraction form
    78,984/173,979 = 173,979/x
  3. Step 3: Cross multiply
    78,984x = 173,979 × 173,979
  4. Step 4: Simplify right side
    78,984x = 30,268,692,441
  5. Step 5: Solve for x
    x = 30,268,692,441/78,984
  6. Step 6: Final answer
    x = 383,225.62

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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.