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Finding the Third Proportional to 93,284 and 147,949

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Solution

The third proportional to 93,284 and 147,949 is: 234,648.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,284 : 147,949 = 147,949 : x
  2. Step 2: Convert to fraction form
    93,284/147,949 = 147,949/x
  3. Step 3: Cross multiply
    93,284x = 147,949 × 147,949
  4. Step 4: Simplify right side
    93,284x = 21,888,906,601
  5. Step 5: Solve for x
    x = 21,888,906,601/93,284
  6. Step 6: Final answer
    x = 234,648.03

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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.