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Finding the Third Proportional to 60,177 and 90,136

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Solution

The third proportional to 60,177 and 90,136 is: 135,010.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,177 : 90,136 = 90,136 : x
  2. Step 2: Convert to fraction form
    60,177/90,136 = 90,136/x
  3. Step 3: Cross multiply
    60,177x = 90,136 × 90,136
  4. Step 4: Simplify right side
    60,177x = 8,124,498,496
  5. Step 5: Solve for x
    x = 8,124,498,496/60,177
  6. Step 6: Final answer
    x = 135,010.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.