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Finding the Third Proportional to 55,694 and 86,315

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Solution

The third proportional to 55,694 and 86,315 is: 133,771.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,694 : 86,315 = 86,315 : x
  2. Step 2: Convert to fraction form
    55,694/86,315 = 86,315/x
  3. Step 3: Cross multiply
    55,694x = 86,315 × 86,315
  4. Step 4: Simplify right side
    55,694x = 7,450,279,225
  5. Step 5: Solve for x
    x = 7,450,279,225/55,694
  6. Step 6: Final answer
    x = 133,771.67

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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.