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Finding the Third Proportional to 93,324 and 126,161

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Solution

The third proportional to 93,324 and 126,161 is: 170,552.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,324 : 126,161 = 126,161 : x
  2. Step 2: Convert to fraction form
    93,324/126,161 = 126,161/x
  3. Step 3: Cross multiply
    93,324x = 126,161 × 126,161
  4. Step 4: Simplify right side
    93,324x = 15,916,597,921
  5. Step 5: Solve for x
    x = 15,916,597,921/93,324
  6. Step 6: Final answer
    x = 170,552.03

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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.