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Finding the Third Proportional to 126,971.30 and 275,812.59

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Solution

The third proportional to 126,971.30 and 275,812.59 is: 599,132.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,971.30 : 275,812.59 = 275,812.59 : x
  2. Step 2: Convert to fraction form
    126,971.30/275,812.59 = 275,812.59/x
  3. Step 3: Cross multiply
    126,971.30x = 275,812.59 × 275,812.59
  4. Step 4: Simplify right side
    126,971.30x = 76,072,586,871.10
  5. Step 5: Solve for x
    x = 76,072,586,871.10/126,971.30
  6. Step 6: Final answer
    x = 599,132.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.