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Finding the Third Proportional to 75,726 and 159,291

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Solution

The third proportional to 75,726 and 159,291 is: 335,071.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,726 : 159,291 = 159,291 : x
  2. Step 2: Convert to fraction form
    75,726/159,291 = 159,291/x
  3. Step 3: Cross multiply
    75,726x = 159,291 × 159,291
  4. Step 4: Simplify right side
    75,726x = 25,373,622,681
  5. Step 5: Solve for x
    x = 25,373,622,681/75,726
  6. Step 6: Final answer
    x = 335,071.48

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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.