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Finding the Third Proportional to 56,171 and 85,412.50

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Solution

The third proportional to 56,171 and 85,412.50 is: 129,876.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,171 : 85,412.50 = 85,412.50 : x
  2. Step 2: Convert to fraction form
    56,171/85,412.50 = 85,412.50/x
  3. Step 3: Cross multiply
    56,171x = 85,412.50 × 85,412.50
  4. Step 4: Simplify right side
    56,171x = 7,295,295,156.25
  5. Step 5: Solve for x
    x = 7,295,295,156.25/56,171
  6. Step 6: Final answer
    x = 129,876.54

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.