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Finding the Third Proportional to 64,718 and 132,573

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Solution

The third proportional to 64,718 and 132,573 is: 271,572.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,718 : 132,573 = 132,573 : x
  2. Step 2: Convert to fraction form
    64,718/132,573 = 132,573/x
  3. Step 3: Cross multiply
    64,718x = 132,573 × 132,573
  4. Step 4: Simplify right side
    64,718x = 17,575,600,329
  5. Step 5: Solve for x
    x = 17,575,600,329/64,718
  6. Step 6: Final answer
    x = 271,572.06

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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.