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Finding the Third Proportional to 43,116 and 64,834

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Solution

The third proportional to 43,116 and 64,834 is: 97,491.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,116 : 64,834 = 64,834 : x
  2. Step 2: Convert to fraction form
    43,116/64,834 = 64,834/x
  3. Step 3: Cross multiply
    43,116x = 64,834 × 64,834
  4. Step 4: Simplify right side
    43,116x = 4,203,447,556
  5. Step 5: Solve for x
    x = 4,203,447,556/43,116
  6. Step 6: Final answer
    x = 97,491.59

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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.