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Finding the Third Proportional to 64,158 and 100,786

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Solution

The third proportional to 64,158 and 100,786 is: 158,325.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,158 : 100,786 = 100,786 : x
  2. Step 2: Convert to fraction form
    64,158/100,786 = 100,786/x
  3. Step 3: Cross multiply
    64,158x = 100,786 × 100,786
  4. Step 4: Simplify right side
    64,158x = 10,157,817,796
  5. Step 5: Solve for x
    x = 10,157,817,796/64,158
  6. Step 6: Final answer
    x = 158,325.04

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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.