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Finding the Third Proportional to 125,664 and 273,144

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Solution

The third proportional to 125,664 and 273,144 is: 593,707.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,664 : 273,144 = 273,144 : x
  2. Step 2: Convert to fraction form
    125,664/273,144 = 273,144/x
  3. Step 3: Cross multiply
    125,664x = 273,144 × 273,144
  4. Step 4: Simplify right side
    125,664x = 74,607,644,736
  5. Step 5: Solve for x
    x = 74,607,644,736/125,664
  6. Step 6: Final answer
    x = 593,707.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.