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Finding the Third Proportional to 64,982 and 78,834

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Solution

The third proportional to 64,982 and 78,834 is: 95,638.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,982 : 78,834 = 78,834 : x
  2. Step 2: Convert to fraction form
    64,982/78,834 = 78,834/x
  3. Step 3: Cross multiply
    64,982x = 78,834 × 78,834
  4. Step 4: Simplify right side
    64,982x = 6,214,799,556
  5. Step 5: Solve for x
    x = 6,214,799,556/64,982
  6. Step 6: Final answer
    x = 95,638.79

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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.