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Finding the Third Proportional to 62,706 and 127,032

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Solution

The third proportional to 62,706 and 127,032 is: 257,345.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,706 : 127,032 = 127,032 : x
  2. Step 2: Convert to fraction form
    62,706/127,032 = 127,032/x
  3. Step 3: Cross multiply
    62,706x = 127,032 × 127,032
  4. Step 4: Simplify right side
    62,706x = 16,137,129,024
  5. Step 5: Solve for x
    x = 16,137,129,024/62,706
  6. Step 6: Final answer
    x = 257,345.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.