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Finding the Third Proportional to 104,314 and 141,700

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Solution

The third proportional to 104,314 and 141,700 is: 192,485.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,314 : 141,700 = 141,700 : x
  2. Step 2: Convert to fraction form
    104,314/141,700 = 141,700/x
  3. Step 3: Cross multiply
    104,314x = 141,700 × 141,700
  4. Step 4: Simplify right side
    104,314x = 20,078,890,000
  5. Step 5: Solve for x
    x = 20,078,890,000/104,314
  6. Step 6: Final answer
    x = 192,485.09

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.