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Finding the Third Proportional to 102,372.75 and 156,820.50

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Solution

The third proportional to 102,372.75 and 156,820.50 is: 240,226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,372.75 : 156,820.50 = 156,820.50 : x
  2. Step 2: Convert to fraction form
    102,372.75/156,820.50 = 156,820.50/x
  3. Step 3: Cross multiply
    102,372.75x = 156,820.50 × 156,820.50
  4. Step 4: Simplify right side
    102,372.75x = 24,592,669,220.25
  5. Step 5: Solve for x
    x = 24,592,669,220.25/102,372.75
  6. Step 6: Final answer
    x = 240,226.71

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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.