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Finding the Third Proportional to 106,940 and 232,094

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Solution

The third proportional to 106,940 and 232,094 is: 503,718.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,940 : 232,094 = 232,094 : x
  2. Step 2: Convert to fraction form
    106,940/232,094 = 232,094/x
  3. Step 3: Cross multiply
    106,940x = 232,094 × 232,094
  4. Step 4: Simplify right side
    106,940x = 53,867,624,836
  5. Step 5: Solve for x
    x = 53,867,624,836/106,940
  6. Step 6: Final answer
    x = 503,718.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.