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Finding the Third Proportional to 102,988.50 and 146,993

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Solution

The third proportional to 102,988.50 and 146,993 is: 209,799.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,988.50 : 146,993 = 146,993 : x
  2. Step 2: Convert to fraction form
    102,988.50/146,993 = 146,993/x
  3. Step 3: Cross multiply
    102,988.50x = 146,993 × 146,993
  4. Step 4: Simplify right side
    102,988.50x = 21,606,942,049
  5. Step 5: Solve for x
    x = 21,606,942,049/102,988.50
  6. Step 6: Final answer
    x = 209,799.56

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.