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Finding the Third Proportional to 50,100 and 78,026

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Solution

The third proportional to 50,100 and 78,026 is: 121,518.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,100 : 78,026 = 78,026 : x
  2. Step 2: Convert to fraction form
    50,100/78,026 = 78,026/x
  3. Step 3: Cross multiply
    50,100x = 78,026 × 78,026
  4. Step 4: Simplify right side
    50,100x = 6,088,056,676
  5. Step 5: Solve for x
    x = 6,088,056,676/50,100
  6. Step 6: Final answer
    x = 121,518.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.