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Finding the Third Proportional to 75,835.13 and 164,106.38

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Solution

The third proportional to 75,835.13 and 164,106.38 is: 355,124.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,835.13 : 164,106.38 = 164,106.38 : x
  2. Step 2: Convert to fraction form
    75,835.13/164,106.38 = 164,106.38/x
  3. Step 3: Cross multiply
    75,835.13x = 164,106.38 × 164,106.38
  4. Step 4: Simplify right side
    75,835.13x = 26,930,902,315.64
  5. Step 5: Solve for x
    x = 26,930,902,315.64/75,835.13
  6. Step 6: Final answer
    x = 355,124.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.