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Finding the Third Proportional to 103,524.75 and 162,212.63

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Solution

The third proportional to 103,524.75 and 162,212.63 is: 254,170.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,524.75 : 162,212.63 = 162,212.63 : x
  2. Step 2: Convert to fraction form
    103,524.75/162,212.63 = 162,212.63/x
  3. Step 3: Cross multiply
    103,524.75x = 162,212.63 × 162,212.63
  4. Step 4: Simplify right side
    103,524.75x = 26,312,935,709.39
  5. Step 5: Solve for x
    x = 26,312,935,709.39/103,524.75
  6. Step 6: Final answer
    x = 254,170.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.