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Finding the Third Proportional to 100,344.75 and 137,598.38

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Solution

The third proportional to 100,344.75 and 137,598.38 is: 188,682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,344.75 : 137,598.38 = 137,598.38 : x
  2. Step 2: Convert to fraction form
    100,344.75/137,598.38 = 137,598.38/x
  3. Step 3: Cross multiply
    100,344.75x = 137,598.38 × 137,598.38
  4. Step 4: Simplify right side
    100,344.75x = 18,933,312,802.64
  5. Step 5: Solve for x
    x = 18,933,312,802.64/100,344.75
  6. Step 6: Final answer
    x = 188,682.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.