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Finding the Third Proportional to 126,291 and 195,066

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Solution

The third proportional to 126,291 and 195,066 is: 301,294.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,291 : 195,066 = 195,066 : x
  2. Step 2: Convert to fraction form
    126,291/195,066 = 195,066/x
  3. Step 3: Cross multiply
    126,291x = 195,066 × 195,066
  4. Step 4: Simplify right side
    126,291x = 38,050,744,356
  5. Step 5: Solve for x
    x = 38,050,744,356/126,291
  6. Step 6: Final answer
    x = 301,294.19

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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.