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Finding the Third Proportional to 64,016 and 96,909

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Solution

The third proportional to 64,016 and 96,909 is: 146,703.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,016 : 96,909 = 96,909 : x
  2. Step 2: Convert to fraction form
    64,016/96,909 = 96,909/x
  3. Step 3: Cross multiply
    64,016x = 96,909 × 96,909
  4. Step 4: Simplify right side
    64,016x = 9,391,354,281
  5. Step 5: Solve for x
    x = 9,391,354,281/64,016
  6. Step 6: Final answer
    x = 146,703.23

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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.