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Finding the Third Proportional to 126,411 and 273,066.75

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Solution

The third proportional to 126,411 and 273,066.75 is: 589,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,411 : 273,066.75 = 273,066.75 : x
  2. Step 2: Convert to fraction form
    126,411/273,066.75 = 273,066.75/x
  3. Step 3: Cross multiply
    126,411x = 273,066.75 × 273,066.75
  4. Step 4: Simplify right side
    126,411x = 74,565,449,955.56
  5. Step 5: Solve for x
    x = 74,565,449,955.56/126,411
  6. Step 6: Final answer
    x = 589,865.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.