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Finding the Third Proportional to 90,524 and 136,951

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Solution

The third proportional to 90,524 and 136,951 is: 207,188.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,524 : 136,951 = 136,951 : x
  2. Step 2: Convert to fraction form
    90,524/136,951 = 136,951/x
  3. Step 3: Cross multiply
    90,524x = 136,951 × 136,951
  4. Step 4: Simplify right side
    90,524x = 18,755,576,401
  5. Step 5: Solve for x
    x = 18,755,576,401/90,524
  6. Step 6: Final answer
    x = 207,188.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.