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Finding the Third Proportional to 125,276 and 262,860

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Solution

The third proportional to 125,276 and 262,860 is: 551,545.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,276 : 262,860 = 262,860 : x
  2. Step 2: Convert to fraction form
    125,276/262,860 = 262,860/x
  3. Step 3: Cross multiply
    125,276x = 262,860 × 262,860
  4. Step 4: Simplify right side
    125,276x = 69,095,379,600
  5. Step 5: Solve for x
    x = 69,095,379,600/125,276
  6. Step 6: Final answer
    x = 551,545.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.