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Finding the Third Proportional to 109,176 and 146,700

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Solution

The third proportional to 109,176 and 146,700 is: 197,121.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,176 : 146,700 = 146,700 : x
  2. Step 2: Convert to fraction form
    109,176/146,700 = 146,700/x
  3. Step 3: Cross multiply
    109,176x = 146,700 × 146,700
  4. Step 4: Simplify right side
    109,176x = 21,520,890,000
  5. Step 5: Solve for x
    x = 21,520,890,000/109,176
  6. Step 6: Final answer
    x = 197,121.07

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.