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Finding the Third Proportional to 64,716 and 132,567

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Solution

The third proportional to 64,716 and 132,567 is: 271,555.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,716 : 132,567 = 132,567 : x
  2. Step 2: Convert to fraction form
    64,716/132,567 = 132,567/x
  3. Step 3: Cross multiply
    64,716x = 132,567 × 132,567
  4. Step 4: Simplify right side
    64,716x = 17,574,009,489
  5. Step 5: Solve for x
    x = 17,574,009,489/64,716
  6. Step 6: Final answer
    x = 271,555.87

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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.