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Finding the Third Proportional to 41,439 and 90,468

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Solution

The third proportional to 41,439 and 90,468 is: 197,506.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,439 : 90,468 = 90,468 : x
  2. Step 2: Convert to fraction form
    41,439/90,468 = 90,468/x
  3. Step 3: Cross multiply
    41,439x = 90,468 × 90,468
  4. Step 4: Simplify right side
    41,439x = 8,184,459,024
  5. Step 5: Solve for x
    x = 8,184,459,024/41,439
  6. Step 6: Final answer
    x = 197,506.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.