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Finding the Third Proportional to 109,663.50 and 239,145

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Solution

The third proportional to 109,663.50 and 239,145 is: 521,507.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,663.50 : 239,145 = 239,145 : x
  2. Step 2: Convert to fraction form
    109,663.50/239,145 = 239,145/x
  3. Step 3: Cross multiply
    109,663.50x = 239,145 × 239,145
  4. Step 4: Simplify right side
    109,663.50x = 57,190,331,025
  5. Step 5: Solve for x
    x = 57,190,331,025/109,663.50
  6. Step 6: Final answer
    x = 521,507.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.