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Finding the Third Proportional to 45,589 and 98,466

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Solution

The third proportional to 45,589 and 98,466 is: 212,673.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,589 : 98,466 = 98,466 : x
  2. Step 2: Convert to fraction form
    45,589/98,466 = 98,466/x
  3. Step 3: Cross multiply
    45,589x = 98,466 × 98,466
  4. Step 4: Simplify right side
    45,589x = 9,695,553,156
  5. Step 5: Solve for x
    x = 9,695,553,156/45,589
  6. Step 6: Final answer
    x = 212,673.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.