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Finding the Third Proportional to 63,116 and 94,834

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Solution

The third proportional to 63,116 and 94,834 is: 142,491.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,116 : 94,834 = 94,834 : x
  2. Step 2: Convert to fraction form
    63,116/94,834 = 94,834/x
  3. Step 3: Cross multiply
    63,116x = 94,834 × 94,834
  4. Step 4: Simplify right side
    63,116x = 8,993,487,556
  5. Step 5: Solve for x
    x = 8,993,487,556/63,116
  6. Step 6: Final answer
    x = 142,491.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.