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Finding the Third Proportional to 101,806.50 and 155,343

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Solution

The third proportional to 101,806.50 and 155,343 is: 237,032.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,806.50 : 155,343 = 155,343 : x
  2. Step 2: Convert to fraction form
    101,806.50/155,343 = 155,343/x
  3. Step 3: Cross multiply
    101,806.50x = 155,343 × 155,343
  4. Step 4: Simplify right side
    101,806.50x = 24,131,447,649
  5. Step 5: Solve for x
    x = 24,131,447,649/101,806.50
  6. Step 6: Final answer
    x = 237,032.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.