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Finding the Third Proportional to 64,050 and 102,908

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Solution

The third proportional to 64,050 and 102,908 is: 165,340.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,050 : 102,908 = 102,908 : x
  2. Step 2: Convert to fraction form
    64,050/102,908 = 102,908/x
  3. Step 3: Cross multiply
    64,050x = 102,908 × 102,908
  4. Step 4: Simplify right side
    64,050x = 10,590,056,464
  5. Step 5: Solve for x
    x = 10,590,056,464/64,050
  6. Step 6: Final answer
    x = 165,340.46

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.