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Finding the Third Proportional to 101,934.50 and 155,563.50

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Solution

The third proportional to 101,934.50 and 155,563.50 is: 237,407.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,934.50 : 155,563.50 = 155,563.50 : x
  2. Step 2: Convert to fraction form
    101,934.50/155,563.50 = 155,563.50/x
  3. Step 3: Cross multiply
    101,934.50x = 155,563.50 × 155,563.50
  4. Step 4: Simplify right side
    101,934.50x = 24,200,002,532.25
  5. Step 5: Solve for x
    x = 24,200,002,532.25/101,934.50
  6. Step 6: Final answer
    x = 237,407.38

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