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Finding the Third Proportional to 61,668.84 and 134,751.09

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Solution

The third proportional to 61,668.84 and 134,751.09 is: 294,441.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,668.84 : 134,751.09 = 134,751.09 : x
  2. Step 2: Convert to fraction form
    61,668.84/134,751.09 = 134,751.09/x
  3. Step 3: Cross multiply
    61,668.84x = 134,751.09 × 134,751.09
  4. Step 4: Simplify right side
    61,668.84x = 18,157,857,266.82
  5. Step 5: Solve for x
    x = 18,157,857,266.82/61,668.84
  6. Step 6: Final answer
    x = 294,441.34

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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.