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Finding the Third Proportional to 116,948 and 246,122

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Solution

The third proportional to 116,948 and 246,122 is: 517,974.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,948 : 246,122 = 246,122 : x
  2. Step 2: Convert to fraction form
    116,948/246,122 = 246,122/x
  3. Step 3: Cross multiply
    116,948x = 246,122 × 246,122
  4. Step 4: Simplify right side
    116,948x = 60,576,038,884
  5. Step 5: Solve for x
    x = 60,576,038,884/116,948
  6. Step 6: Final answer
    x = 517,974.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.