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Finding the Third Proportional to 115,206 and 164,745

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Solution

The third proportional to 115,206 and 164,745 is: 235,585.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,206 : 164,745 = 164,745 : x
  2. Step 2: Convert to fraction form
    115,206/164,745 = 164,745/x
  3. Step 3: Cross multiply
    115,206x = 164,745 × 164,745
  4. Step 4: Simplify right side
    115,206x = 27,140,915,025
  5. Step 5: Solve for x
    x = 27,140,915,025/115,206
  6. Step 6: Final answer
    x = 235,585.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.