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Finding the Third Proportional to 124,064 and 271,296

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Solution

The third proportional to 124,064 and 271,296 is: 593,254.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,064 : 271,296 = 271,296 : x
  2. Step 2: Convert to fraction form
    124,064/271,296 = 271,296/x
  3. Step 3: Cross multiply
    124,064x = 271,296 × 271,296
  4. Step 4: Simplify right side
    124,064x = 73,601,519,616
  5. Step 5: Solve for x
    x = 73,601,519,616/124,064
  6. Step 6: Final answer
    x = 593,254.45

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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.