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Finding the Third Proportional to 43,712 and 94,336

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Solution

The third proportional to 43,712 and 94,336 is: 203,588.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,712 : 94,336 = 94,336 : x
  2. Step 2: Convert to fraction form
    43,712/94,336 = 94,336/x
  3. Step 3: Cross multiply
    43,712x = 94,336 × 94,336
  4. Step 4: Simplify right side
    43,712x = 8,899,280,896
  5. Step 5: Solve for x
    x = 8,899,280,896/43,712
  6. Step 6: Final answer
    x = 203,588.97

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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.