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Finding the Third Proportional to 112,164 and 246,123

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Solution

The third proportional to 112,164 and 246,123 is: 540,071.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,164 : 246,123 = 246,123 : x
  2. Step 2: Convert to fraction form
    112,164/246,123 = 246,123/x
  3. Step 3: Cross multiply
    112,164x = 246,123 × 246,123
  4. Step 4: Simplify right side
    112,164x = 60,576,531,129
  5. Step 5: Solve for x
    x = 60,576,531,129/112,164
  6. Step 6: Final answer
    x = 540,071.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.