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Finding the Third Proportional to 50,712 and 102,960

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Solution

The third proportional to 50,712 and 102,960 is: 209,038.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,712 : 102,960 = 102,960 : x
  2. Step 2: Convert to fraction form
    50,712/102,960 = 102,960/x
  3. Step 3: Cross multiply
    50,712x = 102,960 × 102,960
  4. Step 4: Simplify right side
    50,712x = 10,600,761,600
  5. Step 5: Solve for x
    x = 10,600,761,600/50,712
  6. Step 6: Final answer
    x = 209,038.52

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.