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Finding the Third Proportional to 64,642 and 134,818

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Solution

The third proportional to 64,642 and 134,818 is: 281,177.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,642 : 134,818 = 134,818 : x
  2. Step 2: Convert to fraction form
    64,642/134,818 = 134,818/x
  3. Step 3: Cross multiply
    64,642x = 134,818 × 134,818
  4. Step 4: Simplify right side
    64,642x = 18,175,893,124
  5. Step 5: Solve for x
    x = 18,175,893,124/64,642
  6. Step 6: Final answer
    x = 281,177.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.