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Finding the Third Proportional to 64,984 and 78,836

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Solution

The third proportional to 64,984 and 78,836 is: 95,640.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,984 : 78,836 = 78,836 : x
  2. Step 2: Convert to fraction form
    64,984/78,836 = 78,836/x
  3. Step 3: Cross multiply
    64,984x = 78,836 × 78,836
  4. Step 4: Simplify right side
    64,984x = 6,215,114,896
  5. Step 5: Solve for x
    x = 6,215,114,896/64,984
  6. Step 6: Final answer
    x = 95,640.69

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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.