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Finding the Third Proportional to 56,912 and 81,984.50

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Solution

The third proportional to 56,912 and 81,984.50 is: 118,102.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,912 : 81,984.50 = 81,984.50 : x
  2. Step 2: Convert to fraction form
    56,912/81,984.50 = 81,984.50/x
  3. Step 3: Cross multiply
    56,912x = 81,984.50 × 81,984.50
  4. Step 4: Simplify right side
    56,912x = 6,721,458,240.25
  5. Step 5: Solve for x
    x = 6,721,458,240.25/56,912
  6. Step 6: Final answer
    x = 118,102.65

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.