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Finding the Third Proportional to 102,274.50 and 156,982.50

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Solution

The third proportional to 102,274.50 and 156,982.50 is: 240,954.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,274.50 : 156,982.50 = 156,982.50 : x
  2. Step 2: Convert to fraction form
    102,274.50/156,982.50 = 156,982.50/x
  3. Step 3: Cross multiply
    102,274.50x = 156,982.50 × 156,982.50
  4. Step 4: Simplify right side
    102,274.50x = 24,643,505,306.25
  5. Step 5: Solve for x
    x = 24,643,505,306.25/102,274.50
  6. Step 6: Final answer
    x = 240,954.54

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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.