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Finding the Third Proportional to 93,640 and 173,996

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Solution

The third proportional to 93,640 and 173,996 is: 323,308.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,640 : 173,996 = 173,996 : x
  2. Step 2: Convert to fraction form
    93,640/173,996 = 173,996/x
  3. Step 3: Cross multiply
    93,640x = 173,996 × 173,996
  4. Step 4: Simplify right side
    93,640x = 30,274,608,016
  5. Step 5: Solve for x
    x = 30,274,608,016/93,640
  6. Step 6: Final answer
    x = 323,308.50

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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.