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Finding the Third Proportional to 73,914 and 162,138

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Solution

The third proportional to 73,914 and 162,138 is: 355,666.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,914 : 162,138 = 162,138 : x
  2. Step 2: Convert to fraction form
    73,914/162,138 = 162,138/x
  3. Step 3: Cross multiply
    73,914x = 162,138 × 162,138
  4. Step 4: Simplify right side
    73,914x = 26,288,731,044
  5. Step 5: Solve for x
    x = 26,288,731,044/73,914
  6. Step 6: Final answer
    x = 355,666.46

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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.