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Finding the Third Proportional to 124,314.75 and 271,401

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Solution

The third proportional to 124,314.75 and 271,401 is: 592,516.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,314.75 : 271,401 = 271,401 : x
  2. Step 2: Convert to fraction form
    124,314.75/271,401 = 271,401/x
  3. Step 3: Cross multiply
    124,314.75x = 271,401 × 271,401
  4. Step 4: Simplify right side
    124,314.75x = 73,658,502,801
  5. Step 5: Solve for x
    x = 73,658,502,801/124,314.75
  6. Step 6: Final answer
    x = 592,516.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.