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Finding the Third Proportional to 74,125.13 and 108,028.69

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Solution

The third proportional to 74,125.13 and 108,028.69 is: 157,439.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,125.13 : 108,028.69 = 108,028.69 : x
  2. Step 2: Convert to fraction form
    74,125.13/108,028.69 = 108,028.69/x
  3. Step 3: Cross multiply
    74,125.13x = 108,028.69 × 108,028.69
  4. Step 4: Simplify right side
    74,125.13x = 11,670,197,322.97
  5. Step 5: Solve for x
    x = 11,670,197,322.97/74,125.13
  6. Step 6: Final answer
    x = 157,439.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.