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Finding the Third Proportional to 96,742 and 146,576

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Solution

The third proportional to 96,742 and 146,576 is: 222,080.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,742 : 146,576 = 146,576 : x
  2. Step 2: Convert to fraction form
    96,742/146,576 = 146,576/x
  3. Step 3: Cross multiply
    96,742x = 146,576 × 146,576
  4. Step 4: Simplify right side
    96,742x = 21,484,523,776
  5. Step 5: Solve for x
    x = 21,484,523,776/96,742
  6. Step 6: Final answer
    x = 222,080.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.