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Finding the Third Proportional to 55,777.50 and 78,016.50

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Solution

The third proportional to 55,777.50 and 78,016.50 is: 109,122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,777.50 : 78,016.50 = 78,016.50 : x
  2. Step 2: Convert to fraction form
    55,777.50/78,016.50 = 78,016.50/x
  3. Step 3: Cross multiply
    55,777.50x = 78,016.50 × 78,016.50
  4. Step 4: Simplify right side
    55,777.50x = 6,086,574,272.25
  5. Step 5: Solve for x
    x = 6,086,574,272.25/55,777.50
  6. Step 6: Final answer
    x = 109,122.39

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.