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Finding the Third Proportional to 55,986.75 and 84,868.50

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Solution

The third proportional to 55,986.75 and 84,868.50 is: 128,649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,986.75 : 84,868.50 = 84,868.50 : x
  2. Step 2: Convert to fraction form
    55,986.75/84,868.50 = 84,868.50/x
  3. Step 3: Cross multiply
    55,986.75x = 84,868.50 × 84,868.50
  4. Step 4: Simplify right side
    55,986.75x = 7,202,662,292.25
  5. Step 5: Solve for x
    x = 7,202,662,292.25/55,986.75
  6. Step 6: Final answer
    x = 128,649.41

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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.