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Finding the Third Proportional to 80,126.50 and 172,946.25

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Solution

The third proportional to 80,126.50 and 172,946.25 is: 373,289.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,126.50 : 172,946.25 = 172,946.25 : x
  2. Step 2: Convert to fraction form
    80,126.50/172,946.25 = 172,946.25/x
  3. Step 3: Cross multiply
    80,126.50x = 172,946.25 × 172,946.25
  4. Step 4: Simplify right side
    80,126.50x = 29,910,405,389.06
  5. Step 5: Solve for x
    x = 29,910,405,389.06/80,126.50
  6. Step 6: Final answer
    x = 373,289.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.