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Finding the Third Proportional to 55,353.50 and 88,121

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Solution

The third proportional to 55,353.50 and 88,121 is: 140,285.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,353.50 : 88,121 = 88,121 : x
  2. Step 2: Convert to fraction form
    55,353.50/88,121 = 88,121/x
  3. Step 3: Cross multiply
    55,353.50x = 88,121 × 88,121
  4. Step 4: Simplify right side
    55,353.50x = 7,765,310,641
  5. Step 5: Solve for x
    x = 7,765,310,641/55,353.50
  6. Step 6: Final answer
    x = 140,285.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.