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Finding the Third Proportional to 76,015 and 175,956

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Solution

The third proportional to 76,015 and 175,956 is: 407,294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,015 : 175,956 = 175,956 : x
  2. Step 2: Convert to fraction form
    76,015/175,956 = 175,956/x
  3. Step 3: Cross multiply
    76,015x = 175,956 × 175,956
  4. Step 4: Simplify right side
    76,015x = 30,960,513,936
  5. Step 5: Solve for x
    x = 30,960,513,936/76,015
  6. Step 6: Final answer
    x = 407,294.80

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.