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Finding the Third Proportional to 125,377 and 273,604

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Solution

The third proportional to 125,377 and 273,604 is: 597,072.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,377 : 273,604 = 273,604 : x
  2. Step 2: Convert to fraction form
    125,377/273,604 = 273,604/x
  3. Step 3: Cross multiply
    125,377x = 273,604 × 273,604
  4. Step 4: Simplify right side
    125,377x = 74,859,148,816
  5. Step 5: Solve for x
    x = 74,859,148,816/125,377
  6. Step 6: Final answer
    x = 597,072.42

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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.