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Finding the Third Proportional to 35,650 and 78,104

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Solution

The third proportional to 35,650 and 78,104 is: 171,114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,650 : 78,104 = 78,104 : x
  2. Step 2: Convert to fraction form
    35,650/78,104 = 78,104/x
  3. Step 3: Cross multiply
    35,650x = 78,104 × 78,104
  4. Step 4: Simplify right side
    35,650x = 6,100,234,816
  5. Step 5: Solve for x
    x = 6,100,234,816/35,650
  6. Step 6: Final answer
    x = 171,114.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.