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Finding the Third Proportional to 64,552 and 132,668

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Solution

The third proportional to 64,552 and 132,668 is: 272,660.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,552 : 132,668 = 132,668 : x
  2. Step 2: Convert to fraction form
    64,552/132,668 = 132,668/x
  3. Step 3: Cross multiply
    64,552x = 132,668 × 132,668
  4. Step 4: Simplify right side
    64,552x = 17,600,798,224
  5. Step 5: Solve for x
    x = 17,600,798,224/64,552
  6. Step 6: Final answer
    x = 272,660.77

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.