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Finding the Third Proportional to 126,527.06 and 267,277.22

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Solution

The third proportional to 126,527.06 and 267,277.22 is: 564,599.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,527.06 : 267,277.22 = 267,277.22 : x
  2. Step 2: Convert to fraction form
    126,527.06/267,277.22 = 267,277.22/x
  3. Step 3: Cross multiply
    126,527.06x = 267,277.22 × 267,277.22
  4. Step 4: Simplify right side
    126,527.06x = 71,437,111,662.74
  5. Step 5: Solve for x
    x = 71,437,111,662.74/126,527.06
  6. Step 6: Final answer
    x = 564,599.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.