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Finding the Third Proportional to 125,306 and 262,913

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Solution

The third proportional to 125,306 and 262,913 is: 551,635.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,306 : 262,913 = 262,913 : x
  2. Step 2: Convert to fraction form
    125,306/262,913 = 262,913/x
  3. Step 3: Cross multiply
    125,306x = 262,913 × 262,913
  4. Step 4: Simplify right side
    125,306x = 69,123,245,569
  5. Step 5: Solve for x
    x = 69,123,245,569/125,306
  6. Step 6: Final answer
    x = 551,635.56

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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.