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Finding the Third Proportional to 55,086 and 85,140

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Solution

The third proportional to 55,086 and 85,140 is: 131,590.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,086 : 85,140 = 85,140 : x
  2. Step 2: Convert to fraction form
    55,086/85,140 = 85,140/x
  3. Step 3: Cross multiply
    55,086x = 85,140 × 85,140
  4. Step 4: Simplify right side
    55,086x = 7,248,819,600
  5. Step 5: Solve for x
    x = 7,248,819,600/55,086
  6. Step 6: Final answer
    x = 131,590.96

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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.