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Finding the Third Proportional to 68,040 and 156,168

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Solution

The third proportional to 68,040 and 156,168 is: 358,442.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,040 : 156,168 = 156,168 : x
  2. Step 2: Convert to fraction form
    68,040/156,168 = 156,168/x
  3. Step 3: Cross multiply
    68,040x = 156,168 × 156,168
  4. Step 4: Simplify right side
    68,040x = 24,388,444,224
  5. Step 5: Solve for x
    x = 24,388,444,224/68,040
  6. Step 6: Final answer
    x = 358,442.74

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.