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Finding the Third Proportional to 81,928 and 130,624

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Solution

The third proportional to 81,928 and 130,624 is: 208,263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,928 : 130,624 = 130,624 : x
  2. Step 2: Convert to fraction form
    81,928/130,624 = 130,624/x
  3. Step 3: Cross multiply
    81,928x = 130,624 × 130,624
  4. Step 4: Simplify right side
    81,928x = 17,062,629,376
  5. Step 5: Solve for x
    x = 17,062,629,376/81,928
  6. Step 6: Final answer
    x = 208,263.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.