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Finding the Third Proportional to 124,036 and 271,256

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Solution

The third proportional to 124,036 and 271,256 is: 593,213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,036 : 271,256 = 271,256 : x
  2. Step 2: Convert to fraction form
    124,036/271,256 = 271,256/x
  3. Step 3: Cross multiply
    124,036x = 271,256 × 271,256
  4. Step 4: Simplify right side
    124,036x = 73,579,817,536
  5. Step 5: Solve for x
    x = 73,579,817,536/124,036
  6. Step 6: Final answer
    x = 593,213.40

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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.