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Finding the Third Proportional to 41,598 and 90,202

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Solution

The third proportional to 41,598 and 90,202 is: 195,595.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,598 : 90,202 = 90,202 : x
  2. Step 2: Convert to fraction form
    41,598/90,202 = 90,202/x
  3. Step 3: Cross multiply
    41,598x = 90,202 × 90,202
  4. Step 4: Simplify right side
    41,598x = 8,136,400,804
  5. Step 5: Solve for x
    x = 8,136,400,804/41,598
  6. Step 6: Final answer
    x = 195,595.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.