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Finding the Third Proportional to 63,911 and 85,144

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Solution

The third proportional to 63,911 and 85,144 is: 113,431.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,911 : 85,144 = 85,144 : x
  2. Step 2: Convert to fraction form
    63,911/85,144 = 85,144/x
  3. Step 3: Cross multiply
    63,911x = 85,144 × 85,144
  4. Step 4: Simplify right side
    63,911x = 7,249,500,736
  5. Step 5: Solve for x
    x = 7,249,500,736/63,911
  6. Step 6: Final answer
    x = 113,431.19

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.