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Finding the Third Proportional to 93,680 and 126,660

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Solution

The third proportional to 93,680 and 126,660 is: 171,250.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,680 : 126,660 = 126,660 : x
  2. Step 2: Convert to fraction form
    93,680/126,660 = 126,660/x
  3. Step 3: Cross multiply
    93,680x = 126,660 × 126,660
  4. Step 4: Simplify right side
    93,680x = 16,042,755,600
  5. Step 5: Solve for x
    x = 16,042,755,600/93,680
  6. Step 6: Final answer
    x = 171,250.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.