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Finding the Third Proportional to 126,130 and 269,396

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Solution

The third proportional to 126,130 and 269,396 is: 575,392.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,130 : 269,396 = 269,396 : x
  2. Step 2: Convert to fraction form
    126,130/269,396 = 269,396/x
  3. Step 3: Cross multiply
    126,130x = 269,396 × 269,396
  4. Step 4: Simplify right side
    126,130x = 72,574,204,816
  5. Step 5: Solve for x
    x = 72,574,204,816/126,130
  6. Step 6: Final answer
    x = 575,392.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.