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Finding the Third Proportional to 75,575.81 and 164,759.63

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Solution

The third proportional to 75,575.81 and 164,759.63 is: 359,185.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,575.81 : 164,759.63 = 164,759.63 : x
  2. Step 2: Convert to fraction form
    75,575.81/164,759.63 = 164,759.63/x
  3. Step 3: Cross multiply
    75,575.81x = 164,759.63 × 164,759.63
  4. Step 4: Simplify right side
    75,575.81x = 27,145,734,030.14
  5. Step 5: Solve for x
    x = 27,145,734,030.14/75,575.81
  6. Step 6: Final answer
    x = 359,185.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.