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Finding the Third Proportional to 75,138 and 162,308

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Solution

The third proportional to 75,138 and 162,308 is: 350,606.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,138 : 162,308 = 162,308 : x
  2. Step 2: Convert to fraction form
    75,138/162,308 = 162,308/x
  3. Step 3: Cross multiply
    75,138x = 162,308 × 162,308
  4. Step 4: Simplify right side
    75,138x = 26,343,886,864
  5. Step 5: Solve for x
    x = 26,343,886,864/75,138
  6. Step 6: Final answer
    x = 350,606.71

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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.