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Finding the Third Proportional to 64,962 and 99,171

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Solution

The third proportional to 64,962 and 99,171 is: 151,394.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,962 : 99,171 = 99,171 : x
  2. Step 2: Convert to fraction form
    64,962/99,171 = 99,171/x
  3. Step 3: Cross multiply
    64,962x = 99,171 × 99,171
  4. Step 4: Simplify right side
    64,962x = 9,834,887,241
  5. Step 5: Solve for x
    x = 9,834,887,241/64,962
  6. Step 6: Final answer
    x = 151,394.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.