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Finding the Third Proportional to 55,904 and 83,094

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Solution

The third proportional to 55,904 and 83,094 is: 123,508.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,904 : 83,094 = 83,094 : x
  2. Step 2: Convert to fraction form
    55,904/83,094 = 83,094/x
  3. Step 3: Cross multiply
    55,904x = 83,094 × 83,094
  4. Step 4: Simplify right side
    55,904x = 6,904,612,836
  5. Step 5: Solve for x
    x = 6,904,612,836/55,904
  6. Step 6: Final answer
    x = 123,508.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.