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Finding the Third Proportional to 125,966 and 195,034

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Solution

The third proportional to 125,966 and 195,034 is: 301,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,966 : 195,034 = 195,034 : x
  2. Step 2: Convert to fraction form
    125,966/195,034 = 195,034/x
  3. Step 3: Cross multiply
    125,966x = 195,034 × 195,034
  4. Step 4: Simplify right side
    125,966x = 38,038,261,156
  5. Step 5: Solve for x
    x = 38,038,261,156/125,966
  6. Step 6: Final answer
    x = 301,972.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.