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Finding the Third Proportional to 73,932 and 162,168

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Solution

The third proportional to 73,932 and 162,168 is: 355,711.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,932 : 162,168 = 162,168 : x
  2. Step 2: Convert to fraction form
    73,932/162,168 = 162,168/x
  3. Step 3: Cross multiply
    73,932x = 162,168 × 162,168
  4. Step 4: Simplify right side
    73,932x = 26,298,460,224
  5. Step 5: Solve for x
    x = 26,298,460,224/73,932
  6. Step 6: Final answer
    x = 355,711.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.