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Finding the Third Proportional to 91,728 and 131,030

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Solution

The third proportional to 91,728 and 131,030 is: 187,171.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,728 : 131,030 = 131,030 : x
  2. Step 2: Convert to fraction form
    91,728/131,030 = 131,030/x
  3. Step 3: Cross multiply
    91,728x = 131,030 × 131,030
  4. Step 4: Simplify right side
    91,728x = 17,168,860,900
  5. Step 5: Solve for x
    x = 17,168,860,900/91,728
  6. Step 6: Final answer
    x = 187,171.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.