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Finding the Third Proportional to 80,288 and 122,527

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Solution

The third proportional to 80,288 and 122,527 is: 186,987.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,288 : 122,527 = 122,527 : x
  2. Step 2: Convert to fraction form
    80,288/122,527 = 122,527/x
  3. Step 3: Cross multiply
    80,288x = 122,527 × 122,527
  4. Step 4: Simplify right side
    80,288x = 15,012,865,729
  5. Step 5: Solve for x
    x = 15,012,865,729/80,288
  6. Step 6: Final answer
    x = 186,987.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.