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Finding the Third Proportional to 125,898 and 195,228

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Solution

The third proportional to 125,898 and 195,228 is: 302,736.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,898 : 195,228 = 195,228 : x
  2. Step 2: Convert to fraction form
    125,898/195,228 = 195,228/x
  3. Step 3: Cross multiply
    125,898x = 195,228 × 195,228
  4. Step 4: Simplify right side
    125,898x = 38,113,971,984
  5. Step 5: Solve for x
    x = 38,113,971,984/125,898
  6. Step 6: Final answer
    x = 302,736.91

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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.