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Finding the Third Proportional to 62,648 and 130,480

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Solution

The third proportional to 62,648 and 130,480 is: 271,756.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,648 : 130,480 = 130,480 : x
  2. Step 2: Convert to fraction form
    62,648/130,480 = 130,480/x
  3. Step 3: Cross multiply
    62,648x = 130,480 × 130,480
  4. Step 4: Simplify right side
    62,648x = 17,025,030,400
  5. Step 5: Solve for x
    x = 17,025,030,400/62,648
  6. Step 6: Final answer
    x = 271,756.97

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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.