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Finding the Third Proportional to 41,590 and 89,136

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Solution

The third proportional to 41,590 and 89,136 is: 191,036.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,590 : 89,136 = 89,136 : x
  2. Step 2: Convert to fraction form
    41,590/89,136 = 89,136/x
  3. Step 3: Cross multiply
    41,590x = 89,136 × 89,136
  4. Step 4: Simplify right side
    41,590x = 7,945,226,496
  5. Step 5: Solve for x
    x = 7,945,226,496/41,590
  6. Step 6: Final answer
    x = 191,036.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.