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Finding the Third Proportional to 112,943 and 150,570

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Solution

The third proportional to 112,943 and 150,570 is: 200,732.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,943 : 150,570 = 150,570 : x
  2. Step 2: Convert to fraction form
    112,943/150,570 = 150,570/x
  3. Step 3: Cross multiply
    112,943x = 150,570 × 150,570
  4. Step 4: Simplify right side
    112,943x = 22,671,324,900
  5. Step 5: Solve for x
    x = 22,671,324,900/112,943
  6. Step 6: Final answer
    x = 200,732.45

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.