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Finding the Third Proportional to 65,796 and 96,966

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Solution

The third proportional to 65,796 and 96,966 is: 142,902.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,796 : 96,966 = 96,966 : x
  2. Step 2: Convert to fraction form
    65,796/96,966 = 96,966/x
  3. Step 3: Cross multiply
    65,796x = 96,966 × 96,966
  4. Step 4: Simplify right side
    65,796x = 9,402,405,156
  5. Step 5: Solve for x
    x = 9,402,405,156/65,796
  6. Step 6: Final answer
    x = 142,902.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.