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Finding the Third Proportional to 78,824.50 and 172,979

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Solution

The third proportional to 78,824.50 and 172,979 is: 379,599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,824.50 : 172,979 = 172,979 : x
  2. Step 2: Convert to fraction form
    78,824.50/172,979 = 172,979/x
  3. Step 3: Cross multiply
    78,824.50x = 172,979 × 172,979
  4. Step 4: Simplify right side
    78,824.50x = 29,921,734,441
  5. Step 5: Solve for x
    x = 29,921,734,441/78,824.50
  6. Step 6: Final answer
    x = 379,599.42

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