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Finding the Third Proportional to 62,728 and 130,640

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Solution

The third proportional to 62,728 and 130,640 is: 272,076.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,728 : 130,640 = 130,640 : x
  2. Step 2: Convert to fraction form
    62,728/130,640 = 130,640/x
  3. Step 3: Cross multiply
    62,728x = 130,640 × 130,640
  4. Step 4: Simplify right side
    62,728x = 17,066,809,600
  5. Step 5: Solve for x
    x = 17,066,809,600/62,728
  6. Step 6: Final answer
    x = 272,076.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.