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Finding the Third Proportional to 56,826 and 86,968.50

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Solution

The third proportional to 56,826 and 86,968.50 is: 133,099.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,826 : 86,968.50 = 86,968.50 : x
  2. Step 2: Convert to fraction form
    56,826/86,968.50 = 86,968.50/x
  3. Step 3: Cross multiply
    56,826x = 86,968.50 × 86,968.50
  4. Step 4: Simplify right side
    56,826x = 7,563,519,992.25
  5. Step 5: Solve for x
    x = 7,563,519,992.25/56,826
  6. Step 6: Final answer
    x = 133,099.64

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.