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Finding the Third Proportional to 98,186 and 150,135

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Solution

The third proportional to 98,186 and 150,135 is: 229,569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,186 : 150,135 = 150,135 : x
  2. Step 2: Convert to fraction form
    98,186/150,135 = 150,135/x
  3. Step 3: Cross multiply
    98,186x = 150,135 × 150,135
  4. Step 4: Simplify right side
    98,186x = 22,540,518,225
  5. Step 5: Solve for x
    x = 22,540,518,225/98,186
  6. Step 6: Final answer
    x = 229,569.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.