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Finding the Third Proportional to 45,771 and 67,171.50

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Solution

The third proportional to 45,771 and 67,171.50 is: 98,577.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,771 : 67,171.50 = 67,171.50 : x
  2. Step 2: Convert to fraction form
    45,771/67,171.50 = 67,171.50/x
  3. Step 3: Cross multiply
    45,771x = 67,171.50 × 67,171.50
  4. Step 4: Simplify right side
    45,771x = 4,512,010,412.25
  5. Step 5: Solve for x
    x = 4,512,010,412.25/45,771
  6. Step 6: Final answer
    x = 98,577.93

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.