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Finding the Third Proportional to 101,176 and 145,738

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Solution

The third proportional to 101,176 and 145,738 is: 209,926.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,176 : 145,738 = 145,738 : x
  2. Step 2: Convert to fraction form
    101,176/145,738 = 145,738/x
  3. Step 3: Cross multiply
    101,176x = 145,738 × 145,738
  4. Step 4: Simplify right side
    101,176x = 21,239,564,644
  5. Step 5: Solve for x
    x = 21,239,564,644/101,176
  6. Step 6: Final answer
    x = 209,926.91

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.