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Finding the Third Proportional to 107,513.50 and 150,373

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Solution

The third proportional to 107,513.50 and 150,373 is: 210,318.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,513.50 : 150,373 = 150,373 : x
  2. Step 2: Convert to fraction form
    107,513.50/150,373 = 150,373/x
  3. Step 3: Cross multiply
    107,513.50x = 150,373 × 150,373
  4. Step 4: Simplify right side
    107,513.50x = 22,612,039,129
  5. Step 5: Solve for x
    x = 22,612,039,129/107,513.50
  6. Step 6: Final answer
    x = 210,318.14

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.