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Finding the Third Proportional to 61,173 and 134,764

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Solution

The third proportional to 61,173 and 134,764 is: 296,884.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,173 : 134,764 = 134,764 : x
  2. Step 2: Convert to fraction form
    61,173/134,764 = 134,764/x
  3. Step 3: Cross multiply
    61,173x = 134,764 × 134,764
  4. Step 4: Simplify right side
    61,173x = 18,161,335,696
  5. Step 5: Solve for x
    x = 18,161,335,696/61,173
  6. Step 6: Final answer
    x = 296,884.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.