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Finding the Third Proportional to 124,344 and 271,152

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Solution

The third proportional to 124,344 and 271,152 is: 591,290.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,344 : 271,152 = 271,152 : x
  2. Step 2: Convert to fraction form
    124,344/271,152 = 271,152/x
  3. Step 3: Cross multiply
    124,344x = 271,152 × 271,152
  4. Step 4: Simplify right side
    124,344x = 73,523,407,104
  5. Step 5: Solve for x
    x = 73,523,407,104/124,344
  6. Step 6: Final answer
    x = 591,290.35

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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.