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Finding the Third Proportional to 43,256 and 93,424

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Solution

The third proportional to 43,256 and 93,424 is: 201,776.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,256 : 93,424 = 93,424 : x
  2. Step 2: Convert to fraction form
    43,256/93,424 = 93,424/x
  3. Step 3: Cross multiply
    43,256x = 93,424 × 93,424
  4. Step 4: Simplify right side
    43,256x = 8,728,043,776
  5. Step 5: Solve for x
    x = 8,728,043,776/43,256
  6. Step 6: Final answer
    x = 201,776.49

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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.