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Finding the Third Proportional to 104,042.50 and 156,078

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Solution

The third proportional to 104,042.50 and 156,078 is: 234,138.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,042.50 : 156,078 = 156,078 : x
  2. Step 2: Convert to fraction form
    104,042.50/156,078 = 156,078/x
  3. Step 3: Cross multiply
    104,042.50x = 156,078 × 156,078
  4. Step 4: Simplify right side
    104,042.50x = 24,360,342,084
  5. Step 5: Solve for x
    x = 24,360,342,084/104,042.50
  6. Step 6: Final answer
    x = 234,138.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.