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Finding the Third Proportional to 45,579 and 95,764.50

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Solution

The third proportional to 45,579 and 95,764.50 is: 201,207.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,579 : 95,764.50 = 95,764.50 : x
  2. Step 2: Convert to fraction form
    45,579/95,764.50 = 95,764.50/x
  3. Step 3: Cross multiply
    45,579x = 95,764.50 × 95,764.50
  4. Step 4: Simplify right side
    45,579x = 9,170,839,460.25
  5. Step 5: Solve for x
    x = 9,170,839,460.25/45,579
  6. Step 6: Final answer
    x = 201,207.56

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.