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Finding the Third Proportional to 93,274 and 173,485

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Solution

The third proportional to 93,274 and 173,485 is: 322,673.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,274 : 173,485 = 173,485 : x
  2. Step 2: Convert to fraction form
    93,274/173,485 = 173,485/x
  3. Step 3: Cross multiply
    93,274x = 173,485 × 173,485
  4. Step 4: Simplify right side
    93,274x = 30,097,045,225
  5. Step 5: Solve for x
    x = 30,097,045,225/93,274
  6. Step 6: Final answer
    x = 322,673.47

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.