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Finding the Third Proportional to 93,500 and 127,741

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Solution

The third proportional to 93,500 and 127,741 is: 174,521.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,500 : 127,741 = 127,741 : x
  2. Step 2: Convert to fraction form
    93,500/127,741 = 127,741/x
  3. Step 3: Cross multiply
    93,500x = 127,741 × 127,741
  4. Step 4: Simplify right side
    93,500x = 16,317,763,081
  5. Step 5: Solve for x
    x = 16,317,763,081/93,500
  6. Step 6: Final answer
    x = 174,521.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.