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Finding the Third Proportional to 65,728 and 102,973

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Solution

The third proportional to 65,728 and 102,973 is: 161,323.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,728 : 102,973 = 102,973 : x
  2. Step 2: Convert to fraction form
    65,728/102,973 = 102,973/x
  3. Step 3: Cross multiply
    65,728x = 102,973 × 102,973
  4. Step 4: Simplify right side
    65,728x = 10,603,438,729
  5. Step 5: Solve for x
    x = 10,603,438,729/65,728
  6. Step 6: Final answer
    x = 161,323.01

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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.