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Finding the Third Proportional to 96,051.38 and 154,328.63

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Solution

The third proportional to 96,051.38 and 154,328.63 is: 247,964.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,051.38 : 154,328.63 = 154,328.63 : x
  2. Step 2: Convert to fraction form
    96,051.38/154,328.63 = 154,328.63/x
  3. Step 3: Cross multiply
    96,051.38x = 154,328.63 × 154,328.63
  4. Step 4: Simplify right side
    96,051.38x = 23,817,324,494.39
  5. Step 5: Solve for x
    x = 23,817,324,494.39/96,051.38
  6. Step 6: Final answer
    x = 247,964.43

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.