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Finding the Third Proportional to 75,787.88 and 165,030.89

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Solution

The third proportional to 75,787.88 and 165,030.89 is: 359,360.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,787.88 : 165,030.89 = 165,030.89 : x
  2. Step 2: Convert to fraction form
    75,787.88/165,030.89 = 165,030.89/x
  3. Step 3: Cross multiply
    75,787.88x = 165,030.89 × 165,030.89
  4. Step 4: Simplify right side
    75,787.88x = 27,235,194,860.48
  5. Step 5: Solve for x
    x = 27,235,194,860.48/75,787.88
  6. Step 6: Final answer
    x = 359,360.85

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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.