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Finding the Third Proportional to 76,294.97 and 165,725.02

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Solution

The third proportional to 76,294.97 and 165,725.02 is: 359,981.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,294.97 : 165,725.02 = 165,725.02 : x
  2. Step 2: Convert to fraction form
    76,294.97/165,725.02 = 165,725.02/x
  3. Step 3: Cross multiply
    76,294.97x = 165,725.02 × 165,725.02
  4. Step 4: Simplify right side
    76,294.97x = 27,464,780,803.91
  5. Step 5: Solve for x
    x = 27,464,780,803.91/76,294.97
  6. Step 6: Final answer
    x = 359,981.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.