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Finding the Third Proportional to 62,550 and 127,648

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Solution

The third proportional to 62,550 and 127,648 is: 260,495.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,550 : 127,648 = 127,648 : x
  2. Step 2: Convert to fraction form
    62,550/127,648 = 127,648/x
  3. Step 3: Cross multiply
    62,550x = 127,648 × 127,648
  4. Step 4: Simplify right side
    62,550x = 16,294,011,904
  5. Step 5: Solve for x
    x = 16,294,011,904/62,550
  6. Step 6: Final answer
    x = 260,495.79

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.