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Finding the Third Proportional to 55,525.50 and 85,999.22

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Solution

The third proportional to 55,525.50 and 85,999.22 is: 133,197.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,525.50 : 85,999.22 = 85,999.22 : x
  2. Step 2: Convert to fraction form
    55,525.50/85,999.22 = 85,999.22/x
  3. Step 3: Cross multiply
    55,525.50x = 85,999.22 × 85,999.22
  4. Step 4: Simplify right side
    55,525.50x = 7,395,865,625.61
  5. Step 5: Solve for x
    x = 7,395,865,625.61/55,525.50
  6. Step 6: Final answer
    x = 133,197.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.