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Finding the Third Proportional to 64,950 and 132,972

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Solution

The third proportional to 64,950 and 132,972 is: 272,233.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,950 : 132,972 = 132,972 : x
  2. Step 2: Convert to fraction form
    64,950/132,972 = 132,972/x
  3. Step 3: Cross multiply
    64,950x = 132,972 × 132,972
  4. Step 4: Simplify right side
    64,950x = 17,681,552,784
  5. Step 5: Solve for x
    x = 17,681,552,784/64,950
  6. Step 6: Final answer
    x = 272,233.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.