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Finding the Third Proportional to 115,433.50 and 162,130

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Solution

The third proportional to 115,433.50 and 162,130 is: 227,716.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,433.50 : 162,130 = 162,130 : x
  2. Step 2: Convert to fraction form
    115,433.50/162,130 = 162,130/x
  3. Step 3: Cross multiply
    115,433.50x = 162,130 × 162,130
  4. Step 4: Simplify right side
    115,433.50x = 26,286,136,900
  5. Step 5: Solve for x
    x = 26,286,136,900/115,433.50
  6. Step 6: Final answer
    x = 227,716.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.