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Finding the Third Proportional to 125,325 and 258,957

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Solution

The third proportional to 125,325 and 258,957 is: 535,078.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,325 : 258,957 = 258,957 : x
  2. Step 2: Convert to fraction form
    125,325/258,957 = 258,957/x
  3. Step 3: Cross multiply
    125,325x = 258,957 × 258,957
  4. Step 4: Simplify right side
    125,325x = 67,058,727,849
  5. Step 5: Solve for x
    x = 67,058,727,849/125,325
  6. Step 6: Final answer
    x = 535,078.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.