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Finding the Third Proportional to 91,778 and 134,344

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Solution

The third proportional to 91,778 and 134,344 is: 196,651.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,778 : 134,344 = 134,344 : x
  2. Step 2: Convert to fraction form
    91,778/134,344 = 134,344/x
  3. Step 3: Cross multiply
    91,778x = 134,344 × 134,344
  4. Step 4: Simplify right side
    91,778x = 18,048,310,336
  5. Step 5: Solve for x
    x = 18,048,310,336/91,778
  6. Step 6: Final answer
    x = 196,651.82

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.