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Finding the Third Proportional to 50,106 and 73,520

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Solution

The third proportional to 50,106 and 73,520 is: 107,875.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,106 : 73,520 = 73,520 : x
  2. Step 2: Convert to fraction form
    50,106/73,520 = 73,520/x
  3. Step 3: Cross multiply
    50,106x = 73,520 × 73,520
  4. Step 4: Simplify right side
    50,106x = 5,405,190,400
  5. Step 5: Solve for x
    x = 5,405,190,400/50,106
  6. Step 6: Final answer
    x = 107,875.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.