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Finding the Third Proportional to 56,604 and 122,097

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Solution

The third proportional to 56,604 and 122,097 is: 263,367.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,604 : 122,097 = 122,097 : x
  2. Step 2: Convert to fraction form
    56,604/122,097 = 122,097/x
  3. Step 3: Cross multiply
    56,604x = 122,097 × 122,097
  4. Step 4: Simplify right side
    56,604x = 14,907,677,409
  5. Step 5: Solve for x
    x = 14,907,677,409/56,604
  6. Step 6: Final answer
    x = 263,367.91

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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.