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Finding the Third Proportional to 65,633 and 134,032

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Solution

The third proportional to 65,633 and 134,032 is: 273,712.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,633 : 134,032 = 134,032 : x
  2. Step 2: Convert to fraction form
    65,633/134,032 = 134,032/x
  3. Step 3: Cross multiply
    65,633x = 134,032 × 134,032
  4. Step 4: Simplify right side
    65,633x = 17,964,577,024
  5. Step 5: Solve for x
    x = 17,964,577,024/65,633
  6. Step 6: Final answer
    x = 273,712.57

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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.