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Finding the Third Proportional to 124,665 and 267,190.50

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Solution

The third proportional to 124,665 and 267,190.50 is: 572,660.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,665 : 267,190.50 = 267,190.50 : x
  2. Step 2: Convert to fraction form
    124,665/267,190.50 = 267,190.50/x
  3. Step 3: Cross multiply
    124,665x = 267,190.50 × 267,190.50
  4. Step 4: Simplify right side
    124,665x = 71,390,763,290.25
  5. Step 5: Solve for x
    x = 71,390,763,290.25/124,665
  6. Step 6: Final answer
    x = 572,660.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.