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Finding the Third Proportional to 124,962 and 269,608

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Solution

The third proportional to 124,962 and 269,608 is: 581,684.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,962 : 269,608 = 269,608 : x
  2. Step 2: Convert to fraction form
    124,962/269,608 = 269,608/x
  3. Step 3: Cross multiply
    124,962x = 269,608 × 269,608
  4. Step 4: Simplify right side
    124,962x = 72,688,473,664
  5. Step 5: Solve for x
    x = 72,688,473,664/124,962
  6. Step 6: Final answer
    x = 581,684.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.