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Finding the Third Proportional to 96,443 and 144,570

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Solution

The third proportional to 96,443 and 144,570 is: 216,713.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,443 : 144,570 = 144,570 : x
  2. Step 2: Convert to fraction form
    96,443/144,570 = 144,570/x
  3. Step 3: Cross multiply
    96,443x = 144,570 × 144,570
  4. Step 4: Simplify right side
    96,443x = 20,900,484,900
  5. Step 5: Solve for x
    x = 20,900,484,900/96,443
  6. Step 6: Final answer
    x = 216,713.34

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