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Finding the Third Proportional to 126,050 and 195,153

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Solution

The third proportional to 126,050 and 195,153 is: 302,139.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,050 : 195,153 = 195,153 : x
  2. Step 2: Convert to fraction form
    126,050/195,153 = 195,153/x
  3. Step 3: Cross multiply
    126,050x = 195,153 × 195,153
  4. Step 4: Simplify right side
    126,050x = 38,084,693,409
  5. Step 5: Solve for x
    x = 38,084,693,409/126,050
  6. Step 6: Final answer
    x = 302,139.57

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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.