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Finding the Third Proportional to 78,064 and 120,828

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Solution

The third proportional to 78,064 and 120,828 is: 187,018.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,064 : 120,828 = 120,828 : x
  2. Step 2: Convert to fraction form
    78,064/120,828 = 120,828/x
  3. Step 3: Cross multiply
    78,064x = 120,828 × 120,828
  4. Step 4: Simplify right side
    78,064x = 14,599,405,584
  5. Step 5: Solve for x
    x = 14,599,405,584/78,064
  6. Step 6: Final answer
    x = 187,018.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.