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Finding the Third Proportional to 64,930 and 134,852

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Solution

The third proportional to 64,930 and 134,852 is: 280,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,930 : 134,852 = 134,852 : x
  2. Step 2: Convert to fraction form
    64,930/134,852 = 134,852/x
  3. Step 3: Cross multiply
    64,930x = 134,852 × 134,852
  4. Step 4: Simplify right side
    64,930x = 18,185,061,904
  5. Step 5: Solve for x
    x = 18,185,061,904/64,930
  6. Step 6: Final answer
    x = 280,071.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.