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Finding the Third Proportional to 107,510 and 150,396

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Solution

The third proportional to 107,510 and 150,396 is: 210,389.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,510 : 150,396 = 150,396 : x
  2. Step 2: Convert to fraction form
    107,510/150,396 = 150,396/x
  3. Step 3: Cross multiply
    107,510x = 150,396 × 150,396
  4. Step 4: Simplify right side
    107,510x = 22,618,956,816
  5. Step 5: Solve for x
    x = 22,618,956,816/107,510
  6. Step 6: Final answer
    x = 210,389.33

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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.