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Finding the Third Proportional to 62,534 and 127,615

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Solution

The third proportional to 62,534 and 127,615 is: 260,427.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,534 : 127,615 = 127,615 : x
  2. Step 2: Convert to fraction form
    62,534/127,615 = 127,615/x
  3. Step 3: Cross multiply
    62,534x = 127,615 × 127,615
  4. Step 4: Simplify right side
    62,534x = 16,285,588,225
  5. Step 5: Solve for x
    x = 16,285,588,225/62,534
  6. Step 6: Final answer
    x = 260,427.74

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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.