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Finding the Third Proportional to 100,359.75 and 137,615.25

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Solution

The third proportional to 100,359.75 and 137,615.25 is: 188,700.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,359.75 : 137,615.25 = 137,615.25 : x
  2. Step 2: Convert to fraction form
    100,359.75/137,615.25 = 137,615.25/x
  3. Step 3: Cross multiply
    100,359.75x = 137,615.25 × 137,615.25
  4. Step 4: Simplify right side
    100,359.75x = 18,937,957,032.56
  5. Step 5: Solve for x
    x = 18,937,957,032.56/100,359.75
  6. Step 6: Final answer
    x = 188,700.72

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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.