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Finding the Third Proportional to 62,754 and 130,608

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Solution

The third proportional to 62,754 and 130,608 is: 271,830.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,754 : 130,608 = 130,608 : x
  2. Step 2: Convert to fraction form
    62,754/130,608 = 130,608/x
  3. Step 3: Cross multiply
    62,754x = 130,608 × 130,608
  4. Step 4: Simplify right side
    62,754x = 17,058,449,664
  5. Step 5: Solve for x
    x = 17,058,449,664/62,754
  6. Step 6: Final answer
    x = 271,830.48

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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.