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Finding the Third Proportional to 112,164 and 239,892

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Solution

The third proportional to 112,164 and 239,892 is: 513,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,164 : 239,892 = 239,892 : x
  2. Step 2: Convert to fraction form
    112,164/239,892 = 239,892/x
  3. Step 3: Cross multiply
    112,164x = 239,892 × 239,892
  4. Step 4: Simplify right side
    112,164x = 57,548,171,664
  5. Step 5: Solve for x
    x = 57,548,171,664/112,164
  6. Step 6: Final answer
    x = 513,071.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.