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Finding the Third Proportional to 64,017 and 96,910

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Solution

The third proportional to 64,017 and 96,910 is: 146,703.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,017 : 96,910 = 96,910 : x
  2. Step 2: Convert to fraction form
    64,017/96,910 = 96,910/x
  3. Step 3: Cross multiply
    64,017x = 96,910 × 96,910
  4. Step 4: Simplify right side
    64,017x = 9,391,548,100
  5. Step 5: Solve for x
    x = 9,391,548,100/64,017
  6. Step 6: Final answer
    x = 146,703.97

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