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Finding the Third Proportional to 57,104 and 120,362

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Solution

The third proportional to 57,104 and 120,362 is: 253,695.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,104 : 120,362 = 120,362 : x
  2. Step 2: Convert to fraction form
    57,104/120,362 = 120,362/x
  3. Step 3: Cross multiply
    57,104x = 120,362 × 120,362
  4. Step 4: Simplify right side
    57,104x = 14,487,011,044
  5. Step 5: Solve for x
    x = 14,487,011,044/57,104
  6. Step 6: Final answer
    x = 253,695.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.