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Finding the Third Proportional to 64,064 and 101,797

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Solution

The third proportional to 64,064 and 101,797 is: 161,754.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,064 : 101,797 = 101,797 : x
  2. Step 2: Convert to fraction form
    64,064/101,797 = 101,797/x
  3. Step 3: Cross multiply
    64,064x = 101,797 × 101,797
  4. Step 4: Simplify right side
    64,064x = 10,362,629,209
  5. Step 5: Solve for x
    x = 10,362,629,209/64,064
  6. Step 6: Final answer
    x = 161,754.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.