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Finding the Third Proportional to 125,664 and 273,909

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Solution

The third proportional to 125,664 and 273,909 is: 597,037.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,664 : 273,909 = 273,909 : x
  2. Step 2: Convert to fraction form
    125,664/273,909 = 273,909/x
  3. Step 3: Cross multiply
    125,664x = 273,909 × 273,909
  4. Step 4: Simplify right side
    125,664x = 75,026,140,281
  5. Step 5: Solve for x
    x = 75,026,140,281/125,664
  6. Step 6: Final answer
    x = 597,037.66

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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.