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Finding the Third Proportional to 73,494 and 158,652

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Solution

The third proportional to 73,494 and 158,652 is: 342,483.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,494 : 158,652 = 158,652 : x
  2. Step 2: Convert to fraction form
    73,494/158,652 = 158,652/x
  3. Step 3: Cross multiply
    73,494x = 158,652 × 158,652
  4. Step 4: Simplify right side
    73,494x = 25,170,457,104
  5. Step 5: Solve for x
    x = 25,170,457,104/73,494
  6. Step 6: Final answer
    x = 342,483.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.