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Finding the Third Proportional to 126,045 and 195,265

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Solution

The third proportional to 126,045 and 195,265 is: 302,498.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,045 : 195,265 = 195,265 : x
  2. Step 2: Convert to fraction form
    126,045/195,265 = 195,265/x
  3. Step 3: Cross multiply
    126,045x = 195,265 × 195,265
  4. Step 4: Simplify right side
    126,045x = 38,128,420,225
  5. Step 5: Solve for x
    x = 38,128,420,225/126,045
  6. Step 6: Final answer
    x = 302,498.47

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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.