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Finding the Third Proportional to 104,697 and 166,757.63

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Solution

The third proportional to 104,697 and 166,757.63 is: 265,605.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,697 : 166,757.63 = 166,757.63 : x
  2. Step 2: Convert to fraction form
    104,697/166,757.63 = 166,757.63/x
  3. Step 3: Cross multiply
    104,697x = 166,757.63 × 166,757.63
  4. Step 4: Simplify right side
    104,697x = 27,808,105,495.64
  5. Step 5: Solve for x
    x = 27,808,105,495.64/104,697
  6. Step 6: Final answer
    x = 265,605.56

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.