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Finding the Third Proportional to 125,676 and 260,100

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Solution

The third proportional to 125,676 and 260,100 is: 538,304.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,676 : 260,100 = 260,100 : x
  2. Step 2: Convert to fraction form
    125,676/260,100 = 260,100/x
  3. Step 3: Cross multiply
    125,676x = 260,100 × 260,100
  4. Step 4: Simplify right side
    125,676x = 67,652,010,000
  5. Step 5: Solve for x
    x = 67,652,010,000/125,676
  6. Step 6: Final answer
    x = 538,304.93

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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.