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Finding the Third Proportional to 64,288 and 131,707

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Solution

The third proportional to 64,288 and 131,707 is: 269,828.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,288 : 131,707 = 131,707 : x
  2. Step 2: Convert to fraction form
    64,288/131,707 = 131,707/x
  3. Step 3: Cross multiply
    64,288x = 131,707 × 131,707
  4. Step 4: Simplify right side
    64,288x = 17,346,733,849
  5. Step 5: Solve for x
    x = 17,346,733,849/64,288
  6. Step 6: Final answer
    x = 269,828.49

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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.