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Finding the Third Proportional to 109,231.50 and 146,715

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Solution

The third proportional to 109,231.50 and 146,715 is: 197,061.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,231.50 : 146,715 = 146,715 : x
  2. Step 2: Convert to fraction form
    109,231.50/146,715 = 146,715/x
  3. Step 3: Cross multiply
    109,231.50x = 146,715 × 146,715
  4. Step 4: Simplify right side
    109,231.50x = 21,525,291,225
  5. Step 5: Solve for x
    x = 21,525,291,225/109,231.50
  6. Step 6: Final answer
    x = 197,061.21

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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.