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Finding the Third Proportional to 64,740 and 101,727

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Solution

The third proportional to 64,740 and 101,727 is: 159,845.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,740 : 101,727 = 101,727 : x
  2. Step 2: Convert to fraction form
    64,740/101,727 = 101,727/x
  3. Step 3: Cross multiply
    64,740x = 101,727 × 101,727
  4. Step 4: Simplify right side
    64,740x = 10,348,382,529
  5. Step 5: Solve for x
    x = 10,348,382,529/64,740
  6. Step 6: Final answer
    x = 159,845.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.