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Finding the Third Proportional to 125,442 and 195,786

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Solution

The third proportional to 125,442 and 195,786 is: 305,576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,442 : 195,786 = 195,786 : x
  2. Step 2: Convert to fraction form
    125,442/195,786 = 195,786/x
  3. Step 3: Cross multiply
    125,442x = 195,786 × 195,786
  4. Step 4: Simplify right side
    125,442x = 38,332,157,796
  5. Step 5: Solve for x
    x = 38,332,157,796/125,442
  6. Step 6: Final answer
    x = 305,576.74

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