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Finding the Third Proportional to 43,044 and 96,168

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Solution

The third proportional to 43,044 and 96,168 is: 214,856.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,044 : 96,168 = 96,168 : x
  2. Step 2: Convert to fraction form
    43,044/96,168 = 96,168/x
  3. Step 3: Cross multiply
    43,044x = 96,168 × 96,168
  4. Step 4: Simplify right side
    43,044x = 9,248,284,224
  5. Step 5: Solve for x
    x = 9,248,284,224/43,044
  6. Step 6: Final answer
    x = 214,856.52

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.