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Finding the Third Proportional to 93,027 and 147,845

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Solution

The third proportional to 93,027 and 147,845 is: 234,965.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,027 : 147,845 = 147,845 : x
  2. Step 2: Convert to fraction form
    93,027/147,845 = 147,845/x
  3. Step 3: Cross multiply
    93,027x = 147,845 × 147,845
  4. Step 4: Simplify right side
    93,027x = 21,858,144,025
  5. Step 5: Solve for x
    x = 21,858,144,025/93,027
  6. Step 6: Final answer
    x = 234,965.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.