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Finding the Third Proportional to 78,935 and 120,752

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Solution

The third proportional to 78,935 and 120,752 is: 184,722.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,935 : 120,752 = 120,752 : x
  2. Step 2: Convert to fraction form
    78,935/120,752 = 120,752/x
  3. Step 3: Cross multiply
    78,935x = 120,752 × 120,752
  4. Step 4: Simplify right side
    78,935x = 14,581,045,504
  5. Step 5: Solve for x
    x = 14,581,045,504/78,935
  6. Step 6: Final answer
    x = 184,722.18

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.