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Finding the Third Proportional to 55,185.50 and 85,430.88

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Solution

The third proportional to 55,185.50 and 85,430.88 is: 132,252.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,185.50 : 85,430.88 = 85,430.88 : x
  2. Step 2: Convert to fraction form
    55,185.50/85,430.88 = 85,430.88/x
  3. Step 3: Cross multiply
    55,185.50x = 85,430.88 × 85,430.88
  4. Step 4: Simplify right side
    55,185.50x = 7,298,434,403.27
  5. Step 5: Solve for x
    x = 7,298,434,403.27/55,185.50
  6. Step 6: Final answer
    x = 132,252.75

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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.