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Finding the Third Proportional to 96,264 and 143,598

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Solution

The third proportional to 96,264 and 143,598 is: 214,206.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,264 : 143,598 = 143,598 : x
  2. Step 2: Convert to fraction form
    96,264/143,598 = 143,598/x
  3. Step 3: Cross multiply
    96,264x = 143,598 × 143,598
  4. Step 4: Simplify right side
    96,264x = 20,620,385,604
  5. Step 5: Solve for x
    x = 20,620,385,604/96,264
  6. Step 6: Final answer
    x = 214,206.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.