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Finding the Third Proportional to 78,840 and 117,951

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Solution

The third proportional to 78,840 and 117,951 is: 176,464.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,840 : 117,951 = 117,951 : x
  2. Step 2: Convert to fraction form
    78,840/117,951 = 117,951/x
  3. Step 3: Cross multiply
    78,840x = 117,951 × 117,951
  4. Step 4: Simplify right side
    78,840x = 13,912,438,401
  5. Step 5: Solve for x
    x = 13,912,438,401/78,840
  6. Step 6: Final answer
    x = 176,464.21

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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.