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Finding the Third Proportional to 89,192.72 and 122,307.19

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Solution

The third proportional to 89,192.72 and 122,307.19 is: 167,716.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,192.72 : 122,307.19 = 122,307.19 : x
  2. Step 2: Convert to fraction form
    89,192.72/122,307.19 = 122,307.19/x
  3. Step 3: Cross multiply
    89,192.72x = 122,307.19 × 122,307.19
  4. Step 4: Simplify right side
    89,192.72x = 14,959,048,114.16
  5. Step 5: Solve for x
    x = 14,959,048,114.16/89,192.72
  6. Step 6: Final answer
    x = 167,716.02

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.