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Finding the Third Proportional to 121,850.50 and 267,239

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Solution

The third proportional to 121,850.50 and 267,239 is: 586,100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,850.50 : 267,239 = 267,239 : x
  2. Step 2: Convert to fraction form
    121,850.50/267,239 = 267,239/x
  3. Step 3: Cross multiply
    121,850.50x = 267,239 × 267,239
  4. Step 4: Simplify right side
    121,850.50x = 71,416,683,121
  5. Step 5: Solve for x
    x = 71,416,683,121/121,850.50
  6. Step 6: Final answer
    x = 586,100.86

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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.