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Finding the Third Proportional to 124,828 and 267,152

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Solution

The third proportional to 124,828 and 267,152 is: 571,748.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,828 : 267,152 = 267,152 : x
  2. Step 2: Convert to fraction form
    124,828/267,152 = 267,152/x
  3. Step 3: Cross multiply
    124,828x = 267,152 × 267,152
  4. Step 4: Simplify right side
    124,828x = 71,370,191,104
  5. Step 5: Solve for x
    x = 71,370,191,104/124,828
  6. Step 6: Final answer
    x = 571,748.25

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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.