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Finding the Third Proportional to 107,628 and 150,470

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Solution

The third proportional to 107,628 and 150,470 is: 210,365.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,628 : 150,470 = 150,470 : x
  2. Step 2: Convert to fraction form
    107,628/150,470 = 150,470/x
  3. Step 3: Cross multiply
    107,628x = 150,470 × 150,470
  4. Step 4: Simplify right side
    107,628x = 22,641,220,900
  5. Step 5: Solve for x
    x = 22,641,220,900/107,628
  6. Step 6: Final answer
    x = 210,365.53

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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.