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Finding the Third Proportional to 65,728 and 97,848

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Solution

The third proportional to 65,728 and 97,848 is: 145,664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,728 : 97,848 = 97,848 : x
  2. Step 2: Convert to fraction form
    65,728/97,848 = 97,848/x
  3. Step 3: Cross multiply
    65,728x = 97,848 × 97,848
  4. Step 4: Simplify right side
    65,728x = 9,574,231,104
  5. Step 5: Solve for x
    x = 9,574,231,104/65,728
  6. Step 6: Final answer
    x = 145,664.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.