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Finding the Third Proportional to 93,640 and 136,956

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Solution

The third proportional to 93,640 and 136,956 is: 200,309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,640 : 136,956 = 136,956 : x
  2. Step 2: Convert to fraction form
    93,640/136,956 = 136,956/x
  3. Step 3: Cross multiply
    93,640x = 136,956 × 136,956
  4. Step 4: Simplify right side
    93,640x = 18,756,945,936
  5. Step 5: Solve for x
    x = 18,756,945,936/93,640
  6. Step 6: Final answer
    x = 200,309.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.