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Finding the Third Proportional to 126,294 and 195,070

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Solution

The third proportional to 126,294 and 195,070 is: 301,299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,294 : 195,070 = 195,070 : x
  2. Step 2: Convert to fraction form
    126,294/195,070 = 195,070/x
  3. Step 3: Cross multiply
    126,294x = 195,070 × 195,070
  4. Step 4: Simplify right side
    126,294x = 38,052,304,900
  5. Step 5: Solve for x
    x = 38,052,304,900/126,294
  6. Step 6: Final answer
    x = 301,299.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.