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Finding the Third Proportional to 121,849.50 and 267,237

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Solution

The third proportional to 121,849.50 and 267,237 is: 586,096.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,849.50 : 267,237 = 267,237 : x
  2. Step 2: Convert to fraction form
    121,849.50/267,237 = 267,237/x
  3. Step 3: Cross multiply
    121,849.50x = 267,237 × 267,237
  4. Step 4: Simplify right side
    121,849.50x = 71,415,614,169
  5. Step 5: Solve for x
    x = 71,415,614,169/121,849.50
  6. Step 6: Final answer
    x = 586,096.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.