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Finding the Third Proportional to 78,330 and 117,201

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Solution

The third proportional to 78,330 and 117,201 is: 175,361.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,330 : 117,201 = 117,201 : x
  2. Step 2: Convert to fraction form
    78,330/117,201 = 117,201/x
  3. Step 3: Cross multiply
    78,330x = 117,201 × 117,201
  4. Step 4: Simplify right side
    78,330x = 13,736,074,401
  5. Step 5: Solve for x
    x = 13,736,074,401/78,330
  6. Step 6: Final answer
    x = 175,361.60

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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.