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Finding the Third Proportional to 65,745 and 138,051

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Solution

The third proportional to 65,745 and 138,051 is: 289,878.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,745 : 138,051 = 138,051 : x
  2. Step 2: Convert to fraction form
    65,745/138,051 = 138,051/x
  3. Step 3: Cross multiply
    65,745x = 138,051 × 138,051
  4. Step 4: Simplify right side
    65,745x = 19,058,078,601
  5. Step 5: Solve for x
    x = 19,058,078,601/65,745
  6. Step 6: Final answer
    x = 289,878.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.