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Finding the Third Proportional to 96,447 and 144,576

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Solution

The third proportional to 96,447 and 144,576 is: 216,722.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,447 : 144,576 = 144,576 : x
  2. Step 2: Convert to fraction form
    96,447/144,576 = 144,576/x
  3. Step 3: Cross multiply
    96,447x = 144,576 × 144,576
  4. Step 4: Simplify right side
    96,447x = 20,902,219,776
  5. Step 5: Solve for x
    x = 20,902,219,776/96,447
  6. Step 6: Final answer
    x = 216,722.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.