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Finding the Third Proportional to 125,912 and 196,527

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Solution

The third proportional to 125,912 and 196,527 is: 306,744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,912 : 196,527 = 196,527 : x
  2. Step 2: Convert to fraction form
    125,912/196,527 = 196,527/x
  3. Step 3: Cross multiply
    125,912x = 196,527 × 196,527
  4. Step 4: Simplify right side
    125,912x = 38,622,861,729
  5. Step 5: Solve for x
    x = 38,622,861,729/125,912
  6. Step 6: Final answer
    x = 306,744.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.