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Finding the Third Proportional to 103,593.94 and 136,216.69

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Solution

The third proportional to 103,593.94 and 136,216.69 is: 179,112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,593.94 : 136,216.69 = 136,216.69 : x
  2. Step 2: Convert to fraction form
    103,593.94/136,216.69 = 136,216.69/x
  3. Step 3: Cross multiply
    103,593.94x = 136,216.69 × 136,216.69
  4. Step 4: Simplify right side
    103,593.94x = 18,554,985,953.47
  5. Step 5: Solve for x
    x = 18,554,985,953.47/103,593.94
  6. Step 6: Final answer
    x = 179,112.66

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.