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Finding the Third Proportional to 125,462 and 268,096

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Solution

The third proportional to 125,462 and 268,096 is: 572,886.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,462 : 268,096 = 268,096 : x
  2. Step 2: Convert to fraction form
    125,462/268,096 = 268,096/x
  3. Step 3: Cross multiply
    125,462x = 268,096 × 268,096
  4. Step 4: Simplify right side
    125,462x = 71,875,465,216
  5. Step 5: Solve for x
    x = 71,875,465,216/125,462
  6. Step 6: Final answer
    x = 572,886.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.