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Finding the Third Proportional to 124,996 and 269,640

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Solution

The third proportional to 124,996 and 269,640 is: 581,664.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,996 : 269,640 = 269,640 : x
  2. Step 2: Convert to fraction form
    124,996/269,640 = 269,640/x
  3. Step 3: Cross multiply
    124,996x = 269,640 × 269,640
  4. Step 4: Simplify right side
    124,996x = 72,705,729,600
  5. Step 5: Solve for x
    x = 72,705,729,600/124,996
  6. Step 6: Final answer
    x = 581,664.45

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