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Finding the Third Proportional to 64,141 and 100,752

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Solution

The third proportional to 64,141 and 100,752 is: 158,260.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,141 : 100,752 = 100,752 : x
  2. Step 2: Convert to fraction form
    64,141/100,752 = 100,752/x
  3. Step 3: Cross multiply
    64,141x = 100,752 × 100,752
  4. Step 4: Simplify right side
    64,141x = 10,150,965,504
  5. Step 5: Solve for x
    x = 10,150,965,504/64,141
  6. Step 6: Final answer
    x = 158,260.17

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.