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Finding the Third Proportional to 76,704 and 117,852

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Solution

The third proportional to 76,704 and 117,852 is: 181,073.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,704 : 117,852 = 117,852 : x
  2. Step 2: Convert to fraction form
    76,704/117,852 = 117,852/x
  3. Step 3: Cross multiply
    76,704x = 117,852 × 117,852
  4. Step 4: Simplify right side
    76,704x = 13,889,093,904
  5. Step 5: Solve for x
    x = 13,889,093,904/76,704
  6. Step 6: Final answer
    x = 181,073.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.