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Finding the Third Proportional to 76,524 and 162,168

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Solution

The third proportional to 76,524 and 162,168 is: 343,662.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,524 : 162,168 = 162,168 : x
  2. Step 2: Convert to fraction form
    76,524/162,168 = 162,168/x
  3. Step 3: Cross multiply
    76,524x = 162,168 × 162,168
  4. Step 4: Simplify right side
    76,524x = 26,298,460,224
  5. Step 5: Solve for x
    x = 26,298,460,224/76,524
  6. Step 6: Final answer
    x = 343,662.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.