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Finding the Third Proportional to 96,635 and 147,835

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Solution

The third proportional to 96,635 and 147,835 is: 226,162.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,635 : 147,835 = 147,835 : x
  2. Step 2: Convert to fraction form
    96,635/147,835 = 147,835/x
  3. Step 3: Cross multiply
    96,635x = 147,835 × 147,835
  4. Step 4: Simplify right side
    96,635x = 21,855,187,225
  5. Step 5: Solve for x
    x = 21,855,187,225/96,635
  6. Step 6: Final answer
    x = 226,162.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.