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Finding the Third Proportional to 64,961 and 101,543

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Solution

The third proportional to 64,961 and 101,543 is: 158,725.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,961 : 101,543 = 101,543 : x
  2. Step 2: Convert to fraction form
    64,961/101,543 = 101,543/x
  3. Step 3: Cross multiply
    64,961x = 101,543 × 101,543
  4. Step 4: Simplify right side
    64,961x = 10,310,980,849
  5. Step 5: Solve for x
    x = 10,310,980,849/64,961
  6. Step 6: Final answer
    x = 158,725.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.