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Finding the Third Proportional to 55,311 and 85,065

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Solution

The third proportional to 55,311 and 85,065 is: 130,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,311 : 85,065 = 85,065 : x
  2. Step 2: Convert to fraction form
    55,311/85,065 = 85,065/x
  3. Step 3: Cross multiply
    55,311x = 85,065 × 85,065
  4. Step 4: Simplify right side
    55,311x = 7,236,054,225
  5. Step 5: Solve for x
    x = 7,236,054,225/55,311
  6. Step 6: Final answer
    x = 130,824.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.