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Finding the Third Proportional to 126,295 and 195,072

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Solution

The third proportional to 126,295 and 195,072 is: 301,303.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,295 : 195,072 = 195,072 : x
  2. Step 2: Convert to fraction form
    126,295/195,072 = 195,072/x
  3. Step 3: Cross multiply
    126,295x = 195,072 × 195,072
  4. Step 4: Simplify right side
    126,295x = 38,053,085,184
  5. Step 5: Solve for x
    x = 38,053,085,184/126,295
  6. Step 6: Final answer
    x = 301,303.18

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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.