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Finding the Third Proportional to 93,794 and 134,358

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Solution

The third proportional to 93,794 and 134,358 is: 192,465.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,794 : 134,358 = 134,358 : x
  2. Step 2: Convert to fraction form
    93,794/134,358 = 134,358/x
  3. Step 3: Cross multiply
    93,794x = 134,358 × 134,358
  4. Step 4: Simplify right side
    93,794x = 18,052,072,164
  5. Step 5: Solve for x
    x = 18,052,072,164/93,794
  6. Step 6: Final answer
    x = 192,465.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.