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Finding the Third Proportional to 64,018 and 96,912

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Solution

The third proportional to 64,018 and 96,912 is: 146,707.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,018 : 96,912 = 96,912 : x
  2. Step 2: Convert to fraction form
    64,018/96,912 = 96,912/x
  3. Step 3: Cross multiply
    64,018x = 96,912 × 96,912
  4. Step 4: Simplify right side
    64,018x = 9,391,935,744
  5. Step 5: Solve for x
    x = 9,391,935,744/64,018
  6. Step 6: Final answer
    x = 146,707.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.